Prof. Vijay Kumar Kukreja

Basic Details

Name

Prof. Vijay Kumar Kukreja
Designation

Professor
Department

Mathematics

Contact

Phone (O)

+911672253268
Phone(R)

+911672253269
Mobile

8427757135
e-mail

vkkukreja@gmail.com

Educational Details

Educational Qualification

Ph.D. from University of Roorkee, Roorkee in 1997.

M.Sc. from Meerut University, Meerut, in 1989.

B.Sc. from Meerut University, Meerut, in 1987.

Academic Identity Links

Academic Identity

ADMINISTRATIVE RESPONSIBILITIES
1. HOD, Department of Mathematics, SLIET, Longowal, August 25, 2020 – August 25, 2023.
2. Coordinator (Procurement) TEQIP-III / II Project, October 2015 – Till date.
3. Member, Senate, SLIET Longowal, Since May 2016.
4. Advisor, Faculty Club and Community Center, April 2019.
5. Coordinator (Tutor Guardian and Student Mentor Scheme), November 2017 – May 2019.
6. Faculty Incharge, Store & Purchase Office, October 2015 – November 2017.
7. Core Committee Member, TEQIP-II Project from 2012 to 2015.
8. Core Committee Member, SLIET Entrance Test-2016, 2015, 2010.
9. Core Committee Member, Silver Jubilee Celebration of SLIET, Longowal.
10. Core Committee Member, TECHFEST-2019, 2018, 2016, 2013, 2012, 2010.
11. Chairman, Faculty Club and Community Center, March 2012 – March 2019.
12. Lab Incharge, Numerical Methods Lab, April 2000 – October 2016.
13. Warden (Boys Hostel), January 2001 – July 2012 and July 2013 – November 2016.
14. Chairman, Registration & Reception committee TECHFEST 2013,11,09,08,06.
15. Observer, SLIET Entrance Test 2018,17,16,12,11,10,09,06,05,04,03,02,01,00.
16. Convener, Annual Convocation Committee 2019,18,17,16,15,14,13,12,11,10.

Experience

Experience

• Professor (Mathematics), SLIET Longowal, India, since September 08, 2012.
• Associate Professor (Mathematics), SLIET Longowal, from 30/07/2009 to 07/09/2012.
• Assistant Professor (Mathematics), SLIET Longowal, from 30/07/2006 to 29/07/2009.
• Lecturer (Mathematics), SLIET Longowal, India, from 06/04/2000 to 29/07/2006.
• Lecturer (Mathematics), BCET, Gurdaspur, India, from 30/07/1997 till 05/04/2000.

Professional Memebership

Professional Membership

• Founder Member, Indian Society of Industrial and Applied Mathematics.
• Life Member, Punjab Academy of Sciences.
• Life Member, Indian Society of Technical Education (LM-29029).

Award

Award

PROFESSIONAL RECOGNITION
1. Member, Selection Committee, for Assistant Professor (Mathematics), Ghani Khan Choudhury Institute of Engineering & Technology Malda, November 2023, July 2023.
2. Member, Selection Committee, for Assistant Professor (Mathematics), November 2023, Central University of Jammu, Jammu.
3. Member, Shortlisting Committee, for Assistant Professor (Mathematics), National Institute of Advanced Manufacturing Technology, Ranchi, June 2023.
4. Guest Editor, Numerical Methods for Approximation of Function and Data Mathematics (Special Issue), MDPI, Impact Factor 2.592, 2023.
5. Editor, Springer Proceedings in Mathematics & Statistics, Volume 410, Frontiers in Industrial and Applied Mathematics, ISBN 978-981-19-7271-3, 2023.
6. Session Chair, International Conference on Evolution in Pure and Applied Mathematics, Akal University, Talwandi Saboo, November 2022.
7. Member, BoS (Mathematics), University School of Sciences, Rayat-Bahra University, Mohali, 2022, 2023.
8. Member, Selection Committee, for Professor (Mathematics), Punjabi University, Patiala, June 2022.
9. Member, Selection Committee, for Assistant Professor (Mathematics), Guru Nanak College, Sri Muktsar Sahib, July 2021.
10. Member, Selection Committee, for Professor (Mathematics), Punjabi University, Patiala, June 2022.
11. Member, National Scientific Advisory Committee, International Conference on Advances in Multi-Disciplinary Sciences & Engineering Research, Chitkara University, July 2021.
12. Member, BoS (Mathematics), Mata Gujri College, Fatehgarh Sahib, 2020-23, 2011-17.
13. Session Chair, 3rd International Conference FIAM, NIT Jamshedpur, December 2020.
14. Session Chair, 23rd Punjab Science Congress, February 2020.
15. Member, National Advisory Committee, 7th International Conference organized by Him Science Congress Association at Chitkara University, Baddi, October 2019.
16. Keynote Address, AICTE Sponsored STTP, SBS State Technical Campus, Ferozepur July 2019.
17. Member, BoS (Mathematics), SBS State Technical Campus, Ferozepur, 2018-2020.
18. Member, VMC, Kendriya Vidyalaya, SLIET Longowal, 2016 to till date.
19. Keynote Talk, NITTTR Chandigarh organized by Haryana State Technical Board, July 2018.
20. Keynote Talk and Session Chair, 19th International Conference on Advances in Numerical Methods and Applied Mathematics, Singapore, November 2017.
21. Session Chair and Member Advisory Committee, International Conference on Mathematics and Engineering Sciences, Chitkara University, Baddi, March 2014.
22. Session Co-Chair, 14th Punjab Science Congress, February 2011.
23. Session Chair, International Conference on Modeling of Engineering & Technological Problems, BMAS Engineering College, Agra, January 2009.
24. Best Paper Award in 6th International Conference on Advancement in Engineering and Technology, BGIET Sangrur, February 2018. (with Dr. Shelly Arora & Dr. Inder Kaur)
25. Best Poster Award, 14th Punjab Science Congress, February 2011. (with Dr. Bharti Gupta)
26. First prize in National Workshop on Mathematical Modeling, Sponsored by DST, CMS, Banasthali University, Banasthali, December 2009.
27. Sisir Kumar Mitra Memorial Award-96 from IIChE, Calcutta, India.
 
INVITED TALKS DELIVERED: (Topics and Institute Details Given Below)
 
Numerical Methods
1. UGC HRDC Refresher Course, Punjabi Uni, Patiala, December 2023, November 2020, May 2014.
2. Department of Mathematics, South Campus, University of Kashmir, Srinagar, September 2022.
3. Department of Mathematics & Statistics, Central Uni of Punjab, Bathinda, July 2022, February 2019.
4. UGC HRDC Refresher Course, Guru Jambheshwar Uni Sci & Tech, Hisar, January 2021.
5. P.G. Department of Mathematics, Khalsa College, Amritsar, November 2020.
6. UGC HRDC Refresher Course, GNDU, Amritsar, November 2019, December 2009.
7. National Workshop, Guru Nanak College, Budhlada, April 2017.
8. TEQIP-II sponsored STTP, SLIET, Longowal, October 2016, March 2015.
9. National Seminar, Government College, Sri Muktsar Sahib, November 2015.
10. NBHM sponsored National Workshop, University of Kashmir, Srinagar, October 2015.
11. Department of Mathematics, Govind National College, Narangwal, February 2012.
12. National Workshop, University of Delhi, Delhi, December 2010.
13. AICTE sponsored SDP, SLIET Longowal, July 2009.
 
Introduction to SPSS
14. UGC HRDC Refresher Course, Punjabi University, Patiala, December 2023.
15. UGC HRDC Refresher Course, Guru Ghasidas Vishwavidyalaya, Bilaspur, December 2023.
16. STTP on Design of Experiments & Its Applications in Engg, SLIET Longowal, December 2023.
17. TEQIP-III sponsored STC, NIT, Uttarakhand, July 2019.
18. Invited Talk, Guru Kashi University, Talwandi Sabo, Bathinda, November 2012.
 
Introduction to MATLAB and MATHEMATICA
19. DBT Sponsored Workshop on MATLAB, SD College, Barnala, February 2022.
20. DBT Sponsored Workshop on MATLAB, Doaba College, Jalandhar, January 2022.
21. TEQIP-III sponsored STTP, SLIET, Longowal, August 2018.
22. UGC ACS Refresher Course, Punjabi University, Patiala, June 2017, May 2014.
23. NBHM sponsored National Workshop, University of Kashmir, Srinagar, October 2015.
24. TEQIP-II sponsored STTP, SLIET, Longowal, June 2015.
25. Department of Mathematics, Mata Gujri College, Fatehgarh Sahib, 2014, 2011.
26. UGC ACS Refresher Course, Punjabi University, Patiala, December 2012.
 
Statistics / Theory of Sampling
27. AICTE-ISTE Refresher Program, Aryabhatta Institutes, Barnala, February 2022.
28. UGC HRDC Refresher Course, GNDU, Amritsar, November 2019.
29. TEQIP-III sponsored STC, NIT, Uttarakhand, July 2019.
30. UGC ACS Refresher Course, Punjabi University, Patiala, June 2017.
31. AICTE New Delhi sponsored SDP, BGIET, Sangrur, May 2012.
 
Applications of Mathematics
32. National Mathematics Day, Jaypee Uni of Information Technology, Waknaghat, December 2022.
33. International Mathematics Day, Guru Nanak College, Sri Muktsar Sahib, March 2022.
34. PSCST sponsored Symposium on Mathematics, Rayat Bahra University Mohali, April 2018.
35. DST Inspire Camp, ACPTE, Sangrur, December 2013, March 2013, March 2012.
36. DST Inspire Camp, Asian Institute, Patiala, November 2013.­
37. Department of Mathematics, Chitkara University, Rajpura, March 2011.
 
Mathematical Modelling
38. UGC HRDC Refresher Course, Guru Ghasidas Vishwavidyalaya, Bilaspur, December 2023.
39. UGC HRDC Refresher Course, Guru Jambheshwar Uni Sci & Tech, Hisar, January 2021.
40. Workshop on Mathematical Modeling, SLIET Longowal & NIT Uttarakhand, August 2020.
41. J.C. Bose University of Science & Technology, YMCA, Faridabad, August 2020.
42. FDP on Mathematical Modelling, Guru Nanak College for Girls, Muktsar, August 2020.
43. FDP on Exploring Science & Technology, Panjab University Chandigarh, August 2020.

 

COMPUTATIONAL SKILLS
I have working knowledge about C, Matlab, Mathematica, SPSS and Python.

 

ACADEMIC VISITS ABROAD
1. Singapore, to attend International Conference on Advances in Numerical Methods and Applied Mathematics (ICANMAM-17), November 09-10, 2017. (Funding from SLIET)
2. Rhodes (Greece), to attend International Conference of Numerical Analysis and Applied Mathematics (ICNAAM-13), September 21-27, 2013. (Funding from SLIET & INSA)
3. Vancouver (Canada), to attend International Congress of Industrial and Applied Mathematics (ICIAM-11), July 18-22, 2011. (Funding from SLIET & DST)
4. Bedlewo (Poland), to attend 4th International Conference: Computational Methods in Applied Mathematics (CMAM-4), June 20-26, 2010. (Funding from SLIET & CSIR)
5. Zurich (Switzerland), to attend International Congress of Industrial and Applied Mathematics (ICIAM-07), July 16-20, 2007. (Funding from ICIAM, AICTE, INSA & DST)
6. Madrid (Spain), to attend International Congress of Mathematicians, August 22-30, 2006. (Funding from ICM, SLIET & CSIR)

Publications

Publications

LIST OF PUBLICATION
 
Research papers in Journals
1. A Kumari & VK Kukreja, Survey of Hermite interpolating polynomials for the solution of differential equations, Mathematics, 11, 3157, 2023.
2. A Kumari & VK Kukreja, Study of generalized regularized long wave equation via septic Hermite collocation method with Crank–Nicolson and SSP-RK43 schemes to capture the various solitons, Wave Motion, 122, 103188, 2023.
3. A Kumari & VK Kukreja, Study of 4th order Kuramoto-Sivashinsky equation by septic Hermite collocation method, Applied Numerical Mathematics, 188, 88-105, 2023.
4. Shallu & VK Kukreja, Solution of generalized regularized long-wave equation with optimal spline collocation technique and implicit Crank-Nicolson as well as explicit SSP-RK43 scheme, International Journal of Computer Mathematics, 100(1), 1-19, 2023.
5. A Kumari & VK Kukreja, Shishkin mesh based septic Hermite interpolation algorithm for time‑dependent singularly perturbed convection–diffusion models, Journal of Mathematical Chemistry, 60(10), 2029-2053, 2022.
6. A Kumari & VK Kukreja, Sixth order Hermite collocation method for analysis of MRLW equation, Journal of Ocean Engineering and Science, ISSN: 2468-0133, 2022.
7. A Kumari, Shallu & VK Kukreja, Solution of dual boundary layer singular perturbation problem by septic Hermite collocation technique, International Journal of Applied & Computational Mathematics, 8(5), 226(1-17), 2022.
8. S Arora, R Jain & VK Kukreja, A robust Hermite spline collocation technique to study generalized Burgers-Huxley equation, generalized Burgers-Fisher equation and modified Burgers’ equation, Journal of Ocean Engineering and Science, ISSN: 2468-0133, 2022.
9. Shallu & VK Kukreja An optimal B-spline collocation technique for numerical simulation of viscous coupled Burgers’ equation, Computational Methods for Differential Equations, 10(4), 1027-1045, 2022.
10. Shallu & VK Kukreja, An improvised collocation algorithm to solve generalized Burgers’-Huxley equation, Arabian Journal of Mathematics, 11(20), 379-396, 2022.
11. A Kumari & VK Kukreja, Robust septic Hermite collocation technique for singularly perturbed generalized Hodgkin-Huxley equation, International Journal of Computer Mathematics, 99(5) 909-923, 2022.
12. Shallu & VK Kukreja, Numerical treatment of Benjamin-Bona-Mahony-Burgers equation with fourth-order improvised B-spline collocation method, Journal of Ocean Engineering & Science, 7(2), 99-111, 2022.
13. A Kumari & VK Kukreja, Error bounds for septic Hermite interpolation and its implementation to study modified Burgers’ equation, Numerical Algorithms, 89(4), 1799-1821, 2022.
14. Shallu & VK Kukreja, An improvised extrapolated collocation algorithm for solving Kuramoto-Sivashinsky equation, Mathematical Methods in the Applied Sciences, 45(3), 1451-1467, 2022.
15. A Kumari & VK Kukreja, Septic Hermite collocation method for the numerical solution of Benjamin Bona Mahony Burgers equation, Journal of Difference Equations & Applications, 27(8), 1193-1217, 2021.
16. Shallu & VK Kukreja, Analysis of RLW and MRLW equation using improvised collocation technique with SSP-RK43 scheme, Wave Motion, 105, 102761, 2021.
17. SP Kaur, AK Mittal & VK Kukreja, A computationally efficient algorithm for solution of mathematical models of displacement washing, Advances & Applications in Mathematical Sciences, 20(11), 2549-2557, 2021.
18. SP Kaur, AK Mittal & VK Kukreja, A Kaundal, N Parumasur & P Singh, Analysis of a linear and non-linear model for diffusion–dispersion phenomena of pulp washing by using quintic Hermite interpolation polynomials, Afrika Matematika, 32(5-6), 997-1019, 2021,
19. Shallu & VK Kukreja, An efficient collocation algorithm with SSP-RK43 scheme to solve Rosenau-KdV-RLW equation, International Journal of Applied & Computational Mathematics, 7(4), 161(1-18), 2021.
20. Shallu, A Kumari & VK Kukreja, An improved extrapolated collocation technique for singularly perturbed problems using cubic B-spline functions, The Mediterranean Journal of Mathematics, 18(4), 128(1-29), 2021.
21. Shallu & VK Kukreja, An optimal quintic B-spline collocation method for fourth-order singular singularly perturbed problems, Mathematics in Engineering Science and Aerospace, 12(2), 443-454, 2021.
22. VK Kukreja, S Arora & AK Ray, Mathematical modelling of displacement washing of packed bed of cellulosic fibers, IPPTA Papyrus 360, 33(1), 19-29, 2021.
23. Shallu & VK Kukreja, An improvised collocation algorithm with specific end conditions for solving modified Burgers equation, Numerical Methods for Partial Differential Equations, 37(1), 874-896, 2021.
24. Shallu, A Kumari & VK Kukreja, An efficient super convergent spline collocation algorithm for solving fourth order singularly perturbed problems, International Journal of Applied & Computational Mathematics, 6(5), 134(1-23), 2020.
25. S Arora, R Jain & VK Kukreja, Solution of Benjamin Bona Mahony Burgers equation using collocation method with quintic Hermite splines, Applied Numerical Mathematics, 154, 1-16, 2020.
26. J Kumar & VK Kukreja, Analytic solution of a diffusion dispersion model of packed beds of finite thickness, Journal of Interdisciplinary Mathematics, 22(1), 1-16, 2019.
27. VK Kukreja & R Kaur, Analysis of one-dimensional advection diffusion model using finite difference method, International Journal of Mathematical & Computational Sciences, 13(10), 184-188, 2019.
28. SP Kaur, AK Mittal, VK Kukreja, N Parumasur & P Singh, An efficient technique for solution of linear and nonlinear diffusion-dispersion models, AIP Conference Proceedings, 1975(1), 030031 (1-10), 2018.
29. S Arora, IP Kaur, H Kumar & VK Kukreja, A robust technique of cubic Hermite collocation for the solution of complex nonlinear model, Journal of King Saud University – Engineering Sciences, 29(2), 159-165, 2017.
30. IA Ganaie, S Arora & VK Kukreja, Cubic Hermite collocation solution of Kuramoto-Sivashinsky equation, International Journal of Computer Mathematics, 93(1), 223-235, 2016.
31. AK Mittal & VK Kukreja, Convergence of orthogonal collocation on finite elements with Hermite basis method for two dimensional nonlinear models, International Journal of Mathematical Sciences & Applications, 5(1), January-June, 187-192, 2015.
32. B Gupta, N Parumasur, P Singh & VK Kukreja, Numerical study of a nonlinear diffusion model for washing of packed bed of cylindrical fiber particles, Arabian Journal of Science & Engineering, 40(5), 1279-1287, 2015.
33. B Gupta & VK Kukreja, Efficient numerical solution of diffusion convection problem of chemical engineering, Chemical & Process Engineering Research, 31, 70-75, 2015.
34. IA Ganaie, VK Kukreja, N Parumasur, P Singh & F Potucek, Comparative study of axial dispersion model using cubic Hermite collocation method for linear and nonlinear adsorption isotherms, Cellulose Chemistry & Technology, 48 (7-8), 717-726, 2014.
35. S Arora, VK Kukreja & F Potucek, Analytic solution of biparameter axial dispersion model, Communications in Applied & Industrial Mathematics, e-458, 2014. (DOI: 10.1685/journal.caim.458)
36. IA Ganaie & VK Kukreja, Numerical solution of Burgers equation by cubic Hermite collocation method, Applied Mathematics & Computation, 237, 571-581, 2014.
37. IA Ganaie, S Arora & VK Kukreja, Cubic Hermite collocation method for solving boundary value problems with Dirichlet, Neumann and Robin conditions, International Journal of Engineering Mathematics, 2014, http://dx.doi.org/10.1155 /2014/365209.
38. IA Ganaie, J Rattan, AK Mittal & VK Kukreja, Simulation of packed bed of porous particles using axial dispersion model, Mathematical Sciences International Research Journal, 3 (1), 134-141, 2014.
39. IA Ganaie & VK Kukreja, A novel numerical scheme of cubic Hermite spline collocation method for solving Burgers’ equation, AIP Conference Proceedings, 1558, 1196-1199, 2013.
40. AK Mittal, IA Ganaie, VK Kukreja, N Parumasur & P Singh, Solution of diffusion-dispersion models using a computationally efficient technique of orthogonal collocation on finite elements with cubic Hermite as basis, Computers & Chemical Engineering, 58, 203-210, 2013.
41. IA Ganaie, B Gupta, N Parumasur, P Singh & VK Kukreja, Asymptotic convergence of cubic Hermite collocation method for axial dispersion model, Applied Mathematics & Computation, 220 (1), 560-567, 2013.
42. AK Mittal, IA Ganaie, VK Kukreja, N Parumasur & P Singh, Numerical solution of diffusion-dispersion model using orthogonal collocation on finite element with Hermite basis for Robin conditions, Applied Mathematical Sciences, 7(34), 1663-1673, 2013.
43. IA Ganaie, S Arora & VK Kukreja, Modelling and simulation of a packed bed of pulp fibers using mixed collocation method, International Journal of Differential Equations, doi:10.1155/2013/875298, 2013.
44. J Kumar, IA Ganaie & VK Kukreja, Application of Mathematica software to solve pulp washing model, ISRN Chemical Engineering, doi:10.1155/2013/765896, 2013.
45. A Kaur, Shelly & V.K. Kukreja, Analytic solution of axial dispersion model using Laplace transform, Indian J. of Industrial & Applied Mathematics, 4(2), 99-107, 2013.
46. B Gupta & VK Kukreja, Numerical approach for solving diffusion problems using cubic B-spline collocation method, Applied Mathematics & Computation, 219(4), 2087-2099, 2012.
47. B Gupta & VK Kukreja, Solution of diffusion dispersion model using spline collocation method, Indian J. of Industrial & Applied Mathematics, 3(2), 1-12, 2012.
48. P Gupta, VK Kukreja, & JR Sharma, On third-order iterative methods to solve nonlinear equations by using rational functions, Indian J. of Industrial & Applied Mathematics, 3(1), 56-63, 2012.
49. V Nanda, B Singh, AS Bawa & VK Kukreja, Characterization of honey produced from different fruit plants of northern India, International J of Food Science & Technology, 44, 2629-2636, 2009.
50. VK Kukreja, AK Mittal, N Parumasur & P Singh, Numerical solution of two point BVPs by OCFE using a Hermite basis, AIP Conference Proceedings, 1146, 386-389, 2009.
51. S Arora, F Potucek, SS Dhaliwal & VK Kukreja, Modelling of displacement washing of pulp bed using orthogonal collocation on finite elements, AIP Conference Proceedings, 1146, 169-176, 2009.
52. VK Kukreja & AK Ray, Mathematical modeling of a rotary vacuum washer used for pulp washing: A case study of a lab scale washer, Cellulose Chemistry and Technology, 43 (1-3), 25-36, 2009.
53. S Arora, SS Dhaliwal & VK Kukreja, Convergence of orthogonal collocation on finite elements for parabolic partial differential equations, Indian J. of Industrial & Applied Mathematics, 1(2), July – December, 63-72, 2008.
54. S Arora, SS Dhaliwal & VK Kukreja, Mathematical modelling of the washing zone of an industrial rotary vacuum washer, Indian J. of Chemical Technology, 15 (July), 332-340, 2008.
55. S Arora, SS Dhaliwal & VK Kukreja, Modelling of displacement washing of pulp fibers using orthogonal collocation on finite elements, Proc. Applied Mathematics & Mechanics, 7, 2150027-2150028, 2007.
56. S Arora, SS Dhaliwal & VK Kukreja, Computationally efficient technique for weight functions and effect of orthogonal polynomials on the average, Applied Mathematics & Computation, 186, 623-631, 2007.
57. S Arora, SS Dhaliwal & VK Kukreja, A computationally efficient technique for solving two point boundary value problems in porous media, Applied Mathematics & Computation, 183, 1170-1180, 2006.
58. S Arora, SS Dhaliwal & VK Kukreja, Application of orthogonal collocation on finite elements for solving non linear boundary value problems, Applied Mathematics & Computation, 180, 516-523, 2006.
59. S Arora, SS Dhaliwal & VK Kukreja, Simulation of washing of packed bed of porous particles by orthogonal collocation on finite elements, Computers & Chemical Engineering, 30 (6-7), 1054-1060, 2006.
60. S Arora, SS Dhaliwal & VK Kukreja, Modelling of the displacement washing of pulp fiber bed, Indian J. of Chemical Technology, 13 (September), 433-439, 2006.
61. S Arora, SS Dhaliwal & VK Kukreja, Solution of two point boundary value problems using orthogonal collocation on finite elements, Applied Mathematics & Computation, 171(1), 358-370, 2005.
62. Mamta, V Kanwar, VK Kukreja & S Singh, On some third order iterative methods for solving non linear equations, Applied Mathematics & Computation, 171(1), 272-280, 2005.
63. Mamta, V Kanwar, VK Kukreja & S Singh, On a class of quadratically convergent iteration formulae, Applied Mathematics & Computation, 166(3), 633-637, 2005.
64. AK Ray & VK Kukreja, Solving pulp washing problems through mathematical models, Fundamentals and Numerical Modeling of Unit Operations in the Forest Products Industries, American Institute of Chemical Engineers, NY, 96(324), 42-47, 2000.
65. VK Kukreja, AK Ray, VP Singh & NJ Rao, Mathematical analysis for evaluation of filtrate flow rates in brown stock washers, Indian Chemical Engineer, Section A, 41(3), July-September, T 87-90, 1999.
66. VK Kukreja, Mathematical model related to washing zone of a brown stock washer, J. of Panjab Academy of Sciences, 1(1), 261-274, 1999.
67. VK Kukreja, AK Ray & VP Singh, Mathematical models for washing and dewatering zones of a rotary vacuum filter, Indian J. of Chemical Technology, 5 (September), 276-280, 1998.
68. VK Kukreja, AK Ray, VP Singh & NJ Rao, Different approaches to evaluate brown stock washer efficiency, IPPTA, 7(4), December, 61-65, 1995.
69. VK Kukreja, AK Ray, VP Singh & NJ Rao, A mathematical model for pulp washing on different zones of a rotary vacuum filter, Indian Chemical Engineer, 37(3), July-September, 113-124, 1995. (Received 2nd best paper award from Indian Institute of Chemical Engineers, Calcutta).
 
Research papers as part of Book
1. A Kumari, Shallu & VK Kukreja, Study of self adjoint singularly perturbed BVP by septic Hermite collocation method, Proceeding of The European Consortium for Mathematics in Industry, Progress in Industrial Mathematics at ECMI 2021, 39, 517-526, 2022.
2. R Kaur & VK Kukreja, Stability analysis of one dimensional diffusion equation using finite difference method, Proceedings of International Conference on Advancements in Science & Technology, Published by McGraw Hill Education (India) Pvt. Ltd., New Delhi, 201-203, 2017. ISBN: 978-93-5260-650-4.
3. S Arora, SS Dhaliwal & VK Kukreja, Numerical solution of a packed bed model using orthogonal collocation, Mathematical Biology: Recent Trends, Published by Anamaya Publishers, New Delhi, India, 107-112, 2006.                                
4. VK Kukreja, AK Ray, VP Singh & NJ Rao, Mathematical techniques & their application in paper industry, Mathematics and Its Application in Industry & Business, Published by Narosa Publishing House, New Delhi, 168-74, 2000.                   
5. VK Kukreja, AK Ray, VP Singh & NJ Rao, Some rotary vacuum performance parameters and their correlations, 1996 TAPPI (Technical Association of Pulp & Paper Industry) Pulping Conference Book, Vol – 2, 837-847, 1996. (ISBN 9780898526721)
6. VK Kukreja, AK Ray, VP Singh & NJ Rao, Evolution of filtration rates of continuous filters, IPPTA Convention Issue, December, 41-45, 1994.
 
Research papers in Conferences
1. M Mand, VK Kukreja & B Singh, Influence function and its relevance in robustness estimation: A brief study, International Conference on Statistics, Probability, Data Science and Related Areas, CUST Cochin, Kerala, India, January 2023.
2. M Mand, VK Kukreja & B Singh, A brief study on influence curve and its importance in robust estimation, Significance of Statistical Sciences in the Emerging Scenario, University of Jammu, Jammu, India, February 2023.
3.  Shallu & VK Kukreja, Coupling of quintic B-spline collocation method with SSP-RK43 scheme to solve generalized Rosenau-KdV equation, 4th International Conference of FIAM, SLIET Longowal, India, December 2021.
4.  S Arora, R Jain & VK Kukreja, Analysis of quintic Hermite collocation method for generalised Benjamin-Bona-Mahony-Burgers equation, 4th International Conference of FIAM, SLIET Longowal, India, December 2021.
5. R Kaur & VK Kukreja, Advection-diffusion equation by a novel compact finite difference method, 4th International Conference of FIAM, SLIET Longowal, India, December 2021.
6. A Kumari & VK Kukreja, Application of septic Hermite interpolation polynomial for solving convection-diffusion equation, 4th International Conference of FIAM, SLIET Longowal, India, December 2021.
7. SP Kaur, AK Mittal & VK Kukreja, Application of quintic Hermite collocation scheme for solving non-linear pulp washing models, 4th International Conference of FIAM, SLIET Longowal, India, December 2021.
8. R Jain, S Arora & VK Kukreja, Stability analysis of numerical solutions of Burgers’ equation using Hermite splines, 9th International Conference on Advancement in Engineering & Technology, BGIET Sangrur, India, June 25-26, 2021.
9. A Kumari, Shallu & VK Kukreja, Study of self-adjoint singularly perturbed BVP by septic Hermite collocation method, 21st ECMI Conference on Industrial and Applied Mathematics, University of Wuppertal, Germany, April 2021.
10. SP Kaur, AK Mittal & VK Kukreja, A computationally efficient algorithm for solution of mathematical models of displacement washing, AICTE sponsored National E Conference on Advances in Computer Vision, Artificial Intelligence & Computer Applications, Pragati College of Engineering, Surampalem, India, November 28, 2020.
11. SP Kaur, AK Mittal & VK Kukreja, Computationally efficient technique for pulp washing problems, National Conference on Science, Engineering & Management, The Oxford College of Engineering, Bengaluru, India, July 15-16, 2020.
12. A Kumari & VK Kukreja, Numerical solution of Fisher’s equation using septic Hermite collocation method, 23rd Punjab Science Congress, SLIET Longowal, India, February 7-9, 2020.
13. Shallu & VK Kukreja, An optimal quintic B-spline collocation method for fourth order singular singularly perturbed problems, International Conference on Mathematical Analysis & its Applications, South Asian University, New Delhi, India, December 14-16, 2019.
14. S Arora, I Kaur & VK Kukreja, Numerical analysis of singularly perturbed problems using quintic Hermite splines, 6th International Conference on Advancement in Engineering & Technology, BGIET Sangrur, India, February 23-24, 2018.
15. VK Kukreja & R Kaur, Analysis of one dimensional advection diffusion model using finite difference method, 19th International Conference on Advances in Numerical Methods & Applied Mathematics, Singapore, November 9-10, 2017. WASET, Singapore
16. R Kaur & VK Kukreja, Stability of one dimensional parabolic equation using finite difference method on an equidistant grid, International Conference on Recent Advances in Theoretical & Computational PDEs with Applications, Punjab University Chandigarh, India, December 5-9, 2016.
17. AK Mittal & VK Kukreja, A combination of OCM and FEM for the solution of Burgers’ type equations, International Conference on Recent Advances in Theoretical & Computational PDEs with Applications, Punjab University Chandigarh, India, December 5-9, 2016.
18. AK Mittal & VK Kukreja, Simulation of mathematical model for displacement washing of pulp fibers using orthogonal collocation on finite element method, National Seminar on Chemical Industry in India: Opportunities & Challenges, SLIET, Longowal, India, September 22-23, 2016.
19. R Kaur & VK Kukreja, Solution of parabolic equation using finite difference method, MATHMEET-2015, South Asian University, Delhi, India, May 8-9, 2015.
20. B Gupta & VK Kukreja, Efficient numerical solution of diffusion convection problem of chemical engineering, Presented at International Conference of Modeling, Simulation and Optimization Techniques, DAV College, Jalandhar, India, February 12-14, 2015.
21. B Gupta & VK Kukreja, A new approach for the solution of two phase parabolic diffusion equation, Proceeding of International Multi-Track Conference on Science, Engineering & Technical Innovations, CTIEMT Jalandhar, India, 450-452(2), 2014.
22. R Kaur & VK Kukreja, On uniform convergence of diffusion model, International Conference on Recent trends in Mathematical Modeling & Statistical Analysis, JC DAV College, Dasuya, India, October 29, 2014.
23. AK Mittal, IA Ahmad, N Parumasur, P Singh & VK Kukreja, Numerical solution of nonlinear diffusion dispersion model with OCFE using Hermite basis, International Conference on Mathematical Sciences, Nagpur, India, December, 2012. 81-85(2012) 978-93-81432-66-2.
24. IA Ganaie, AK Mittal & VK Kukreja, Numerical solution of diffusion dispersion models using cubic Hermite collocation method, National Seminar on Mathematics & Its Applications, Punjabi University, Patiala, India, December, 2012.
25. B Gupta, VK Kukreja, N Parumasur & P Singh, Solution of nonlinear parabolic PDEs arising in fluid flow through porous packed bed, 11th Biennial Conference of ISIAM, Gautam Buddha University, Greater Noida, India, December, 2012.
26. J Kumar & VK Kukreja, Solution of pulp washing model using Mathematica, International Conference on Advancements in Engineering & Technology, BGIET, Sangrur, India, October, 134-137, 2012.
27. IA Ganaie, B Gupta & VK Kukreja, Solution of axial dispersion model using cubic Hermite collocation method, 8th J & K Science Congress, University of Kashmir, Srinagar, India, September, 2012.
28. VK Kukreja, IA Ganaie & S Arora, Solution of boundary value problems using Mathematica, 15th Punjab Science Congress, GNDU, Amritsar, India, February, 2012.
29. B Gupta & VK Kukreja, Simulation of packed bed of porous particles by orthogonal spline collocation method, International Congress of Industrial & Applied Mathematics, Vancouver, Canada, July, 2011.
30. VK Kukreja, AK Mittal, N Parumasur & P Singh, Solution of diffusion dispersion model by orthogonal collocation on finite elements using Hermite basis, International Congress of Industrial & Applied Mathematics, Vancouver, Canada, July, 2011.
31. B Gupta & VK Kukreja, Comparison between OSCM and MATLAB ‘pdepe’ solver for diffusion dispersion model, 14th Punjab Science Congress, SLIET, Longowal, India, February, 2011.
32. B Gupta & VK Kukreja, Mathematical modeling of pulp washing using orthogonal spline collocation method, 14th Punjab Science Congress, SLIET, Longowal, India, February, 2011.
33. AK Mittal, VK Kukreja, N Parumasur & P Singh, Application of orthogonal collocation method using Hermite basis for solving axial dispersion model, 14th Punjab Science Congress, SLIET, Longowal, India, February, 2011.
34. AK Mittal, VK Kukreja, N Parumasur & P Singh, On comparison of OCFE using Hermite basis with analytic and MATLAB ‘pdepe’ solver for axial dispersion model, International Conference on Emerging Trends on Computer Science & Information Technology, Khanna, February, 2011.
35. AK Mittal, VK Kukreja, N Parumasur & P Singh, A note on mathematical modelling, International Conference on Industrial Competitiveness, Khanna, India, April, 2010.
36. AK Mittal, VK Kukreja, N Parumasur & P Singh, Solution of axial dispersion model using orthogonal Hermite collocation method, International Congress of Mathematicians, Hyderabad, August, 2010.
37. S Arora & VK Kukreja, Modelling of washing zone of brown stock washer, International Congress of Mathematicians, Hyderabad, India, August, 2010.
38. VK Kukreja & S Arora, Numerical solution of axial dispersion model involving orthogonal collocation on finite elements, International Conference: Computational Methods in Applied Mathematics, Bedlewo, Poland June, 2010.
39. V Nanda, B Singh, AS Bawa & VK Kukreja, Classification of Indian unifloral honey on the basis of physico chemical characteristics and mineral composition by pattern recognition methods, APIMONDIA 2009, Montpiller, France, September, 2009.
40. S Arora, SS Dhaliwal & VK Kukreja, Analytic solution of an axial dispersion model involving retardation coefficient for the packed bed of porous particles, SIAM Conference on Mathematics for Industry: Challenges and Frontiers, Pennsylvania, USA, October, 2007. (Abstract Only)
41. S Arora, SS Dhaliwal & VK Kukreja, On the convergence behaviour of the method of orthogonal collocation on finite elements, International Congress of Mathematicians, Madrid, Spain, August, 2006.
42. S Arora, SS Dhaliwal & VK Kukreja, A simple algorithm for calculation of collocation constants, Recent Trends in Engineering and Applications of Computational Techniques, BGIET, Sangrur, April, 2006.
43. S Arora, SS Dhaliwal & VK Kukreja, Effect of orthogonal polynomials in terms of weight functions on parabolic partial differential equation, Computational Intelligence in Electrical Engineering, SLIET, Longowal, November, 2005.
44. S Arora & VK Kukreja, Orthogonal collocation method and its application in solving partial differential equations, 6th Punjab Science Congress, SLIET, Longowal, February 2003.
45. VK Kukreja, AK Ray, VP Singh & NJ Rao, Rotary brown stock pulp washers – A review, “XI National Convention of Chemical Engineers”, University of Roorkee, Roorkee, Convention Proceedings, September, pp I 34 – I 38, 1995.
46. VK Kukreja, AK Ray, VP Singh & NJ Rao, Brownstock washing in paper industry – A mathematical approach, 3rd  Annual Conf. of ISIAM, University of Calcutta, Calcutta, May, 1995.
47. VK Kukreja, AK Ray, VP Singh & NJ Rao, Application of mathematical models for solving pulp washing problems in paper industry, International Conference on Differential Equations:  Theory, Methods & Applications, B.M. Birla Science Center, Hyderabad, February, 1995.
48. VK Kukreja, AK Ray, VP Singh & NJ Rao, Evolution of filtration rates of continuous filters, IPPTA Convention, December, 1994.
49. VK Kukreja, AK Ray & VP Singh, Mathematical modelling of rotary drum pulp washers for paper industry, International Conference on Stochastic Models, Optimization Techniques & Computer Applications, PSG College of Technology, Coimbatore, December, 1994.
50. VK Kukreja, AK Ray & VP Singh, On the mathematical modelling of brown stock washers for paper industry, Mathematics for Industrial Development, Agra University, Agra, March, 1994.

Research/Projects

Research

AREAS OF INTEREST
Applied mathematics, Numerical analysis, Solution of ODEs and PDEs, Boundary value problems, Fractional differential equations, Flow through porous media, Mathematical modelling, Industrial mathematics, Data analytics.

 

PROJECT ONGOING – 1
FIST project worth Rs.70 Lacs sanctioned by DST New Delhi for setting up an Advance Computational Lab in the Department of Mathematics, SLIET Longowal.

 

PROJECT COMPLETED – 2
1. Project entitled Application of … dispersion phenomenon, was awarded by CSIR, New Delhi, from January 2002 to December 2004 (3 Years). Cost of project Rs.2,58,500/-.
2. Project entitled Solution of … polynomials as basis, was awarded by NBHM Mumbai, from March 2010 to March 2013 (3 Years). Cost of project Rs.6,63,305/-.

 

Ph.D. GUIDED – 10
1. Name  : Ms. Shelly Arora                  (December 2007)     Dr. S.S. Dhaliwal-Co supervisor
Thesis  : Solutions of PDEs involving diffusion dispersion phenomenon using WRM
2. Name  : Mr. Ajay Kumar Mittal        (May 2015)
Thesis  : Solution of two-point BVPs by OCFE using Hermite basis
3. Name  : Mr. Ishfaq Ahmad Ganaie    (June 2015)
Thesis  : Solution of differential equations using Hermite collocation method
4. Name  : Ms. Bharti Gupta                  (July 2016)
Thesis  : Application of OSCM for the solution of diffusion problems
5. Name  : Mr. Jitender Kumar              (May 2018)
Thesis  : Analytic solution of BVPs involving diffusion dispersion phenomenon
6. Name  : Ms. Ravneet Kaur                 (January 2022)
Thesis  : Solution of some partial differential equations using finite difference method
7. Name  : Ms. Shallu                             (July 2023)
Thesis  : An improvised B-spline collocation method for non-linear partial differential equations
8. Name  : Mr. Rajiv Jain                       (July 2023)               Dr. Shelly Arora-Co supervisor
Thesis  : Study of non-linear singularly perturbed differential equations using collocation method with Hermite splines
9. Name  : Ms. Satinder Pal Kaur           (September 2023)    Dr. A.K. Mittal-Co supervisor
Thesis  : Solution of two-point boundary value problems by quintic Hermite collocation method
10. Name  : Ms. Archna Kumari              (December 2023)
Thesis  : Solution of singularly perturbed differential equations using Hermite collocation method

 

Ph.D. UNDER PROGRESS – 3
1. Ms. Anita (on Solution of Fractional PDEs using Splines) Since September 2021.
2. Ms. Mannat (on Data Science) Since October 2021. (Jointly with Dr. Birmohan Singh)
3. Mr. Arbaz (on Solution of PDEs) Since September 2022. (Jointly with Dr. Sudhir Kumar)
 

CSIR SRF GUIDED – 1
Name           : Ms. Mamta
Duration       : August 18, 2003, till December 31, 2004
 

M. Phil. GUIDED – 5
1. Name  : Mrs. Shailja Kumari       (2009)
Thesis  : A study of the mathematical models related to diffusion dispersion
2. Name  : Mr. Rajiv Jain                 (2009)
Thesis  : Study of solution of partial differential equations using OCFE
3. Name  : Ms. Sangeeta                  (2008)
Thesis  : Amplitude shape method for the solution of partial differential equations
4. Name  : Ms. Puneet Gupta           (2007)
Thesis  : New iterative formulas for solving transcendental equations
5. Name  : Ms. Rupali Puri               (2007)
Thesis  : Studies on the use of differential equations in solving mathematical models of a rotary vacuum filter
 

Ph.D. THESIS EXAMINED – 3
1. Ms. Roohi Jan, The University of Kashmir Srinagar, India, March 2023.
2. Mr. Olabisi Babatope Aluko, University of Kwazulu-Natal, South Africa, October 2022.
3. Mr. Toseef Ahmed Malik, Lovely Professional University Punjab, India, October 2022.
4. Mr. Rabiu Musa, University of Kwazulu-Natal, South Africa, April 2022.
5. Ms. Pinky Kumari, Central University of Punjab, Bathinda, India, April 2022.
6. Ms. Richa Goyal, Thapar Institute of Engineering & Technology, Patiala, September 2021.
7. Mr. Joy Roy, University of Lucknow, Lucknow, India, July 2021.
8. Ms. Zanele Mkhize, University of Kwazulu-Natal, South Africa, June 2021.
9. Mr. Salil Kumar, Desh Bhagat University, Mandi Gobindgarh, India, May 2021.
10. Ms. Mandeep Kaur, Lovely Professional University Punjab, India, March 2021.
11. Mr. A. Delman, Bharathidasan University, Tiruchirappalli, India December 01, 2018
12. Mr. Dereje Alemu Alemar, Punjabi University, Patiala, India, March 2017.

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