Vijay Kumar Kukreja

@sliet.ac.in

Professor, Department of Mathematics
Sant Longowal Institute of Engineering & Technology, Longowal

Vijay Kumar Kukreja


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https://researchid.co/vkkukreja

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematics, Computational Mathematics, Numerical Analysis, Modeling and Simulation
66

Scopus Publications

911

Scholar Citations

17

Scholar h-index

27

Scholar i10-index

Scopus Publications

RECENT SCHOLAR PUBLICATIONS

  • A continuous, bounded and uniformly converging hypertan -normalization approach for improved classification accuracy and feature entropy
    M Mand, B Singh, VK Kukreja
    International Journal of Data Science and Analytics 21 (1), 70 , 2026
    2026
  • A novel data normalization technique based on a piecewise continuous, symmetric function with tanh -transformation: M. Mand et al.
    M Mand, B Singh, VK Kukreja
    Soft Computing, 1-43 , 2026
    2026
  • Physics-informed neural networks for differential equation solutions: A comprehensive review
    S Khanra, VK Kukreja, I Bala
    Neurocomputing, 133317 , 2026
    2026
  • Numerical study of solitary wave equations of fractional order via modified cubic B-spline collocation technique
    A Devi, A Kumari, VK Kukreja
    Wave Motion, 103717 , 2026
    2026
  • Numerical Study of Fractional Order Burgers’-Huxley Equation Using Modified Cubic Splines Approximation
    A Devi, A Kumari, N Parumasur, P Singh, VK Kukreja
    Fractal and Fractional 9 (12), 780 , 2025
    2025
  • New Hermite collocation approach with shocks wave capturing for solving non-linear coupled Burgers-type model at high Reynolds number
    A Kumari, S Kumar, VK Kukreja
    Engineering with Computers 41 (6), 4061-4076 , 2025
    2025
  • Forecasting India's Demographic Transition Under Fertility Policy Scenarios Using hybrid LSTM-PINN Model
    S Khanra, VK Kukreja, I Bala
    arXiv preprint arXiv:2512.00760 , 2025
    2025
  • An Effectual Higher Order Computational Method for Treatment of Generalized Rosenau-KDV Equation.
    R Kaur, VK Kukreja
    Palestine Journal of Mathematics 14 , 2025
    2025
  • Numerical solution and analysis of extended Fisher–Kolmogorov equation using an improved collocation algorithm
    Shallu, VK Kukreja
    International Journal of Computer Mathematics 102 (3), 415-434 , 2025
    2025
    Citations: 3
  • Highly accurate spline collocation technique for the numerical solution of generalized Burgers-Fisher's problem.
    Shallu, VK Kukreja
    Computational Methods for Differential Equations 13 (2) , 2025
    2025
    Citations: 1
  • A SIXTH-ORDER HERMITE COLLOCATION TECHNIQUE FOR NUMERICAL STUDY OF NONLINEAR FISHER AND BURGERS–FISHER EQUATIONS
    A Kumari, VK Kukreja
    The ANZIAM Journal 67, e12 , 2025
    2025
  • On a class of quadratically convergent iteration formulae
    VK Kukreja
    Applied Mathematics and Computation , 2024
    2024
  • Highly accurate collocation methodology for solving the generalized Burgers–Fisher’s equation
    Shallu, VK Kukreja
    Iranian Journal of Numerical Analysis and Optimization 14 (3), 736-761 , 2024
    2024
  • Hermite septic collocation technique for the study of
    A Kumari¹, VK Kukreja
    Multidisciplinary Approach in Research Area (Volume-7), 31 , 2024
    2024
  • Study of generalized regularized long wave equation via septic Hermite collocation method with Crank–Nicolson and SSP-RK43 schemes to capture the various solitons
    A Kumari, VK Kukreja
    Wave Motion 122, 103188 , 2023
    2023
    Citations: 3
  • Survey of Hermite interpolating polynomials for the solution of differential equations
    A Kumari, VK Kukreja
    Mathematics 11 (14), 3157 , 2023
    2023
    Citations: 17
  • Study of 4th order Kuramoto-Sivashinsky equation by septic Hermite collocation method
    A Kumari, VK Kukreja
    Applied Numerical Mathematics 188, 88-105 , 2023
    2023
    Citations: 7
  • Solution of the generalized regularized long-wave equation with optimal spline collocation technique and implicit Crank–Nicolson as well as explicit SSP-RK43 scheme
    Shallu, VK Kukreja
    International Journal of Computer Mathematics 100 (1), 1-19 , 2023
    2023
    Citations: 3
  • Solution of Two-Point Boundary Value Problems Using Quintic Hermite Collocation Method
    SP Kaur, AK Mittal, VK Kukreja
    MRSPTU, Bathinda , 2023
    2023
  • Shishkin mesh based septic Hermite interpolation algorithm for time-dependent singularly perturbed convection–diffusion models
    A Kumari, VK Kukreja
    Journal of Mathematical Chemistry 60 (10), 2029-2053 , 2022
    2022
    Citations: 3

MOST CITED SCHOLAR PUBLICATIONS

  • On a class of quadratically convergent iteration formulae
    V Kanwar, VK Kukreja, S Singh
    Applied mathematics and Computation 166 (3), 633-637 , 2005
    2005
    Citations: 72
  • Solution of Benjamin-Bona-Mahony-Burgers equation using collocation method with quintic Hermite splines
    S Arora, R Jain, VK Kukreja
    Applied Numerical Mathematics 154, 1-16 , 2020
    2020
    Citations: 67
  • On some third-order iterative methods for solving nonlinear equations
    V Kanwar, VK Kukreja, S Singh
    Applied Mathematics and Computation 171 (1), 272-280 , 2005
    2005
    Citations: 61
  • Solution of two point boundary value problems using orthogonal collocation on finite elements
    S Arora, SS Dhaliwal, VK Kukreja
    Applied Mathematics and Computation 171 (1), 358-370 , 2005
    2005
    Citations: 56
  • Numerical solution of Burgers’ equation by cubic Hermite collocation method
    IA Ganaie, VK Kukreja
    Applied Mathematics and Computation 237, 571-581 , 2014
    2014
    Citations: 55
  • Characterisation of honey produced from different fruit plants of northern India
    V Nanda, B Singh, VK Kukreja, AS Bawa
    International Journal of Food Science and Technology 44 (12), 2629-2636 , 2009
    2009
    Citations: 47
  • Simulation of washing of packed bed of porous particles by orthogonal collocation on finite elements
    S Arora, SS Dhaliwal, VK Kukreja
    Computers & chemical engineering 30 (6-7), 1054-1060 , 2006
    2006
    Citations: 42
  • Numerical treatment of Benjamin-Bona-Mahony-Burgers equation with fourth-order improvised B-spline collocation method
    Shallu, VK Kukreja
    Journal of Ocean Engineering and Science 7 (2), 99-111 , 2022
    2022
    Citations: 38
  • Application of orthogonal collocation on finite elements for solving non-linear boundary value problems
    S Arora, SS Dhaliwal, VK Kukreja
    Applied mathematics and computation 180 (2), 516-523 , 2006
    2006
    Citations: 30
  • Cubic Hermite collocation solution of Kuramoto–Sivashinsky equation
    IA Ganaie, S Arora, VK Kukreja
    International Journal of Computer Mathematics 93 (1), 223-235 , 2016
    2016
    Citations: 23
  • Error bounds for septic Hermite interpolation and its implementation to study modified Burgers’ equation
    A Kumari, VK Kukreja
    Numerical Algorithms 89 (4), 1799-1821 , 2022
    2022
    Citations: 22
  • Solution of diffusion–dispersion models using a computationally efficient technique of orthogonal collocation on finite elements with cubic Hermite as basis
    AK Mittal, IA Ganaie, VK Kukreja, N Parumasur, P Singh
    Computers & chemical engineering 58, 203-210 , 2013
    2013
    Citations: 21
  • An improvised collocation algorithm with specific end conditions for solving modified Burgers equation
    Shallu, VK Kukreja
    Numerical Methods for Partial Differential Equations 37 (1), 874-896 , 2021
    2021
    Citations: 20
  • Numerical approach for solving diffusion problems using cubic B-spline collocation method
    B Gupta, VK Kukreja
    Applied Mathematics and Computation 219 (4), 2087-2099 , 2012
    2012
    Citations: 20
  • Mathematical modeling of a rotary vacuum washer used for pulp washing: a case study of a lab scale washer
    VK Kukreja, AK Ray
    Cellulose Chemistry & Technology 43 (1), 25 , 2009
    2009
    Citations: 20
  • Survey of Hermite interpolating polynomials for the solution of differential equations
    A Kumari, VK Kukreja
    Mathematics 11 (14), 3157 , 2023
    2023
    Citations: 17
  • A robust Hermite spline collocation technique to study generalized Burgers-Huxley equation, generalized Burgers-Fisher equation and Modified Burgers’ equation
    S Arora, R Jain, VK Kukreja
    Journal of Ocean Engineering and Science , 2022
    2022
    Citations: 17
  • Robust septic Hermite collocation technique for singularly perturbed generalized Hodgkin–Huxley equation
    A Kumari, VK Kukreja
    International Journal of Computer Mathematics 99 (5), 909-923 , 2022
    2022
    Citations: 17
  • A computationally efficient technique for solving two point boundary value problems in porous media
    S Arora, SS Dhaliwal, VK Kukreja
    Applied mathematics and computation 183 (2), 1170-1180 , 2006
    2006
    Citations: 16
  • Cubic Hermite collocation method for solving boundary value problems with Dirichlet, Neumann, and Robin conditions
    IA Ganaie, S Arora, VK Kukreja
    International journal of engineering mathematics 2014 (1), 365209 , 2014
    2014
    Citations: 15