Name

Dr. V.K. Kukreja

Designation

Professor

Department

Mathematics

Phone (O)

+911672253268

Phone(R)

+911672253269

Mobile

9463017135

e-mail

vkkukreja@gmail.com

Educational Qualification

Ph.D. from University of Roorkee, Roorkee in 1997.
M.Sc. from Meerut University, Meerut, in 1989.

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

HONOURS
• Chaired a Session at International Conference on Mathematics & Engineering Sciences, Chitkara University, Baddi (HP) India, March 2014.
• Member,
Board of Studies, Post Graduation and Under Graduation, Department of Mathematics, Mata Gujri College, Fatehgarh Sahib, since 2011.
• Co-Chaired a Session as well as Rapporteur for a Session at 14th Punjab Science Congress, SLIET, Longowal, India, February, 2011.
• Chaired a Session at International Conference on Modeling of Engineering & Technological Problems, BMAS Engineering College, Agra, India, January 2009.

AWARDS
• Best Poster award from Punjab Academy of Sciences, Patiala during 14th Punjab Science Congress, SLIET, Longowal, India, February, 2011. (Coauthored with Ms Bharti Gupta)
• Got First prize in National Workshop on Mathematical Modeling, Sponsored by DST, Banasthali University, Banasthali, India, December 2009.
• Got Sisir Kumar Mitra Memorial Award-96 from Indian Institute of Chemical Engineers, Calcutta, India.

INVITED TALKS
• Refresher Course on Mathematics and Statistics, Punjabi University, Patiala, India, June 2017.
• National Workshop on Advanced Computational Mathematics and its Application, GN College, Budhlada, India, April 2017.
• International Conference on Recent Advances in Theoretical & Computational Partial Differential Equations with Applications, UIET, Punjab University Chandigarh, India, December, 2016.
• TEQIP-II sponsored STTP on Recent Advances in Computational Techniques in Engineering, SLIET, Longowal, India, October 2016.
• National Seminar on Recent Trends in Applied Mathematics at Government College, Sri Muktsar Sahib, India, November 2015.
• NBHM sponsored National Workshop on Mathematics & Its Applications University of Kashmir, Srinagar, India, October 2015.
• TEQIP-II sponsored STTP on Recent Trends on VLSI Design & Communication Systems, SLIET, Longowal, India, June 2015.
• TEQIP-II sponsored STTP on Optimization Techniques in Engineering R & D, SLIET, Longowal, India, March 2015.
• Refresher Course on Mathematics and Statistics, Punjabi University, Patiala, India, May 2014.
• International Conference on Mathematics and Engineering Sciences, Chitkara University, Baddi, March, 2014.
• DST, New Delhi Sponsored Winter Inspire Camp,
ACPTE, Sangrur, December 2013 and March 2013.
• DST, New Delhi Sponsored Winter Inspire Camp,
Asian Institutes, Patiala, November 2013.
• Refresher Course on Mathematics and Statistics, Punjabi University, Patiala, India, December 2012.
• Guru Kashi University,
Talwandi Sabo, Bathinda, November 2012.
• AICTE New Delhi, sponsored SDP on Research Methodology & Data Analysis,
BGIET, Sangrur, May 2012.
• DST, New Delhi Sponsored Winter Inspire Camp,
ACPTE, Sangrur, March 2012.
• Govind National College,
Narangwal, February 2012.
• International Conference on Emerging Trends in Computer Science & Information Technology, GGI Khanna, February, 2011.
• National Workshop on Differential Equations – Computing and Modelling, University of Delhi, Delhi, India, December 2010.
• Refresher Course on Computational Techniques, Guru Nanak Dev University, Amritsar, India, December 2009.
• AICTE/MHRD sponsored SDP on Measurement and Testing Techniques in Mechanical Engineering, SLIET, Longowal, India, July 2009.
• AICTE/MHRD sponsored SDP on CAD/CAM- Technology and Applications, SLIET, Longowal, India, July 2009.

ACADEMIC VISITS ABROAD
• Rhodes (Greece), to attend International Conference of Numerical Analysis and Applied Mathematics (ICNAAM-13), September 21-27, 2013.
• Vancouver (Canada), to attend International Congress of Industrial and Applied Mathematics (ICIAM-11),
July 18-22, 2011.
• Bedlewo (Poland), to attend 4th International Conference: Computational Methods in Applied Mathematics (CMAM-4),
June 20-26, 2010.
• Zurich (Switzerland), to attend International Congress of Industrial and Applied Mathematics (ICIAM-07),
July 16-20, 2007.
• Madrid (Spain), to attend International Congress of Mathematicians,
August 22-30, 2006.

Publications

Research papers in Journals
1. S Arora,
IP Kaur, H Kumar, VK Kukreja, A robust technique of cubic Hermite collocation for the solution of complex non linear model, Journal of King Saud University – Engineering Sciences, 29, 159-165, 2017.
2. 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 and Applications,
5(1), January-June, 187-192, 2015.
3. 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, 1279-1287, 2015.
4. IA Ganaie,
S Arora & VK Kukreja, Cubic Hermite collocation solution of Kuramoto-Sivashinsky equation, International Journal of Computer Mathematics, 223-235, 96(1), 2016.
5. B Gupta & VK Kukreja, Efficient numerical solution of diffusion convection problem of chemical engineering, Chemical & Process Engineering Research, 31, 70-75, 2015.
6. 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.
7. S Arora,
VK Kukreja & F Potucek, Analytic solution of biparameter axial dispersion model, Communications in Industrial & Applied Mathematical, e-458, 2014. (DOI: 10.1685/journal.caim.458)
8. IA Ganaie & VK Kukreja, Numerical solution of Burgers equation by cubic Hermite collocation method, Applied Mathematics & Computation, 237, 571-581, 2014.
9. 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, Article ID 365209, 8 pages, http://dx.doi.org/10.1155 /2014/365209.
10. 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.
11. IA Ganaie & VK Kukreja, A novel numerical scheme of cubic Hermite spline collocation method for solving Burgers’ equation, American Institute of Physics Conference Proceedings, 1558, 1196-1199, 2013.
12. 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.
13. 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.
14. 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.
15. 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, 2013, Article ID 875298, 7 pages, 2013. doi:10.1155/2013/875298.
16. J Kumar,
IA Ganaie & VK Kukreja, Application of Mathematica software to solve pulp washing model, ISRN Chemical Engineering, 2013, Article ID 765896, 6 pages, doi:10.1155/2013/765896.
17. Amandeep 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.
18. B Gupta & VK Kukreja, Numerical approach for solving diffusion problems using cubic B-spline collocation method,
Applied Mathematics & Computation, 219(4), 2087-2099, 2012.
19. B Gupta & VK Kukreja, Solution of diffusion dispersion model using Spline collocation method, Indian J. of Industrial & Applied Mathematics, 3(2), 1-12, 2012.
20. 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.
21. 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.
22. VK Kukreja,
AK Mittal, N Parumasur & P Singh, Numerical solution of two point BVPs by OCFE using a Hermite basis, American Institute of Physics Conference Proceedings, 1146, 386-389, 2009.
23. S Arora,
F Potucek, SS Dhaliwal & VK Kukreja, Modelling of displacement washing of pulp bed using orthogonal collocation on finite elements, American Institute of Physics Conference Proceedings, 1146, 169-176, 2009.
24. 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.
25. 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.
26. 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.
27. 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.
28. 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.
29. 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.
30. 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.
31. 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.
32. 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.
33. 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.
34. Mamta,
V Kanwar, VK Kukreja & Sukhjit Singh, On some third order iterative methods for solving non linear equations, Applied Mathematics & Computation, 171(1), 272-280, 2005.
35. Mamta,
V Kanwar, VK Kukreja & Sukhjit Singh, On a class of quadratically convergent iteration formulae, Applied Mathematics & Computation, 166(3), 633-637, 2005.
36. 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.
37. 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.
38. VK Kukreja, Mathematical model related to washing zone of a brown stock washer, J. of Panjab Academy of Sciences,
1(1), 261-274, 1999.
39. 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.
40. VK Kukreja,
AK Ray, VP Singh & NJ Rao, Different approaches to evaluate brown stock washer efficiency, IPPTA, 7(4), December, 61-65, 1995.
41. 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. 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., 201-203, 2017.
2. 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.
(Editors : Peeyush Chandra and B.V. Rathish Kumar).
3. 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. (Editors : A.H. Siddiqi and Khalil Ahmad).
4. 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. (Volume Editor : Patricia N. Turner).
5. 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. R Kaur

, VK Kukreja & VP Singh, Stability of one dimensional parabolic equation using finite difference method on an equidistant grid, International Conference on Recent Advances in Theoretical & Computational Partial Differential Equations with Applications, Punjab University Chandigarh, India, December 5-9, 2016.
2. 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 Partial Differential Equations with Applications,
Punjab University Chandigarh, India, December 5-9, 2016.
3. R Kaur & VK Kukreja, Solution of parabolic equation using finite difference method,
MATHMEET-2015, South Asian University, Delhi, May 8-9, 2015.
4. 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.
5. 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 and Technical Innovations, CTIEMT Jalandhar, 450-452(2), 2014.
6. R Kaur & VK Kukreja, On uniform convergence of diffusion model, International Conference on Recent trends in Mathematical Modeling and Statistical Analysis,
JC DAV College, Dasuya, October 29, 2014.
7. 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.
8. IA Ganaie,
Ajay Mittal & VK Kukreja, Numerical solution of diffusion dispersion models using cubic Hermite collocation method, National Seminar on Mathematics and its Applications, Punjabi University, Patiala, India, December, 2012.
9. 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.
10. 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.
11. 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.
12. VK Kukreja,
IA Ganaie & S Arora, Solution of boundary value problems using Mathematica, 15th Punjab Science Congress, GNDU, Amritsar, India, February, 2012.
13. 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.
14. 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.
15. B Gupta & VK Kukreja, Comparison between OSCM and MATLAB ‘pdepe’ solver for diffusion dispersion model, 14th Punjab Science Congress, SLIET, Longowal, India, February, 2011. (Received Best Poster award from Punjab Academy of Sciences, Patiala).
16. B Gupta & VK Kukreja, Mathematical modeling of pulp washing using orthogonal spline collocation method, 14th Punjab Science Congress, SLIET, Longowal, India, February, 2011.
17. 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.
18. 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, India, February, 407-411, 2011.
19. AK Mittal,
VK Kukreja, N Parumasur & P Singh, A note on mathematical modelling, International Conference on Industrial Competitiveness, Khanna, India, April, 2010.
20. AK Mittal,
VK Kukreja, N Parumasur & P Singh, Solution of axial dispersion model using orthogonal Hermite collocation method, International Congress of Mathematicians, Hyderabad, India, August, 2010.
21. S Arora & VK Kukreja, Modelling of washing zone of brown stock washer,
International Congress of Mathematicians, Hyderabad, India, August, 2010.
22. 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.
23. 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.
24. 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)
25. 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.
26. 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.
27. 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.
28. S Arora & VK Kukreja, Orthogonal collocation method and its application in solving partial differential equations,
6th Punjab Science Congress, SLIET, Longowal, February 2003.
29. VK Kukreja & V Kukreja, Is teacher’s evaluation necessary ? 5th Punjab Science Congress, TIET, Patiala, February 2002.
30. 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.
31. 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.
32. 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.
33. VK Kukreja,
AK Ray, VP Singh & NJ Rao, Evolution of filtration rates of continuous filters, IPPTA Convention, December, 1994.
34. 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.
35. 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

PROJECT COMPLETED – 02
A research project entitled Application of orthogonal collocation method for solving partial differential equation involving diffusion dispersion phenomenon, was awarded by Council of Scientific and Industrial Research, New Delhi, India, from January, 2002 to December, 2004 (3 Years). Total cost of project was Rs. 2, 58, 500/-.

A research project entitled Solution of two-point boundary value problems by orthogonal collocation on finite elements using Hermite polynomials as basis, was awarded by National Board of Higher Mathematics, Department of Atomic Energy, Mumbai, India, from March, 2010 to March, 2014 (4 Years). Total cost of project was Rs. 6, 63, 305/-.

Ph.D. CANDIDATE GUIDED – 04
Name : Ms. Shelly Arora (2007)
Thesis : Solutions of partial differential equations involving diffusion dispersion phenomenon using weighted residual methods.
Name : Mr. Ajay Kumar Mittal (May 2015)
Thesis : Solution of two point boundary value problems by orthogonal collocation on finite elements using Hermite basis
Name : Mr. Ishfaq Ahmad Ganaie (June 2015)
Thesis : Solution of differential equations using Hermite collocation method
Name : Ms. Bharti Gupta (July 2016)
Thesis : Application of orthogonal spline collocation method for the solution of diffusion problems