VIJAY KUMAR PATEL

@iitbhu.ac.in

Indian Institute of Technology Banaras Hindu University, Varanasi, India

VIJAY KUMAR PATEL


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https://researchid.co/vijaybhuiit
19

Scopus Publications

403

Scholar Citations

11

Scholar h-index

11

Scholar i10-index

Scopus Publications

RECENT SCHOLAR PUBLICATIONS

  • A Machine Learning Model for Solving Lane–Emden Equation Using Legendre Wavelet Neural Network
    DKNK Vijay Kumar Patel, Abhishekh
    https://link.springer.com/chapter/10.1007/978-981-95-1058-0_24 , 2026
    2026
  • An Efficient Method for Solving Lane–Emden Equation Using Legendre Neural Network
    VK Patel, V Sharma, N Kumar, AK Tiwari
    https://link.springer.com/chapter/10.1007/978-981-96-5732-2_24 , 2025
    2025
  • A modified weighted model of annual rainfall forecasting using fuzzy time series techniques
    BP Singh, Rinku, Abhishekh, AK Nishad, VK Patel
    Life Cycle Reliability and Safety Engineering, 1-11 , 2025
    2025
  • Proximal Contractions for Multivalued Mappings with an Application to 2D Volterra Integral Equations
    VK Patel, H Ahmad, M Younis, H Gündoǧdu, N Barley
    Mathematics 12 (23), 3716 , 2024
    2024
    Citations: 4
  • AgriTransformer: Synergizing Robust Deep Transformer model for Intelligent Farming
    V Sharma, VK Patel, Y Sahu, M Vyas
    Springer Nature , 2024
    2024
    Citations: 1
  • A New Moving Average Time Series Forecasting Model Using Frequency Approach in Fuzzy Environment,
    Abhishekh, D Kumar, VK Patel
    Springer , 2024
    2024
  • A new efficient operational matrix method for solving various fractional partial differential equation with space-time derivative
    VK Patel
    Proceeding of the National Academy of Sciences , 2024
    2024
  • An efficient finite difference scheme for fractional partial differential equation arising in electromagnetic waves model
    VK Patel
    International Journal of Nonlinear Analysis and Applications 14 (10), 163-178 , 2023
    2023
    Citations: 4
  • Numerical and approximate solutions for two-dimensional hyperbolic telegraph equation via wavelet matrices
    VK Patel, D Bahuguna
    Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. , 2022
    2022
    Citations: 9
  • An efficient matrix approach for the numerical solutions of electromagnetic wave model based on fractional partial derivative
    VK Patel, D Bahuguna
    Applied Numerical Mathematics 169, 1-20 , 2021
    2021
    Citations: 14
  • Numerical solutions of electromagnetic wave model of fractional derivative using class of finite difference scheme
    VK Patel, D Bahuguna
    arxiv.org/abs/2103.01612 , 2021
    2021
  • Numerical wavelets scheme to complex partial differential equation arising from Morlet continuous wavelet transform
    VK Patel, S Singh, VK Singh
    Numerical methods for partial differential equations 37 (2), 1163-1199 , 2020
    2020
    Citations: 17
  • Lagrange operational matrix methods to Lane–Emden, Riccati’s and Bessel’s equations
    V Devi, RK Maurya, VK Patel, VK Singh
    International Journal of Applied and Computational Mathematics 5 (3), 79 , 2019
    2019
    Citations: 14
  • Two dimensional wavelets collocation scheme for linear and nonlinear Volterra weakly singular partial integro-differential equations
    VK Patel, S Singh, VK Singh, E Tohidi
    International Journal of Applied and Computational Mathematics 4 (5), 132 , 2018
    2018
    Citations: 33
  • Convergence rate of collocation method based on wavelet for nonlinear weakly singular partial integro‐differential equation arising from viscoelasticity
    S Singh, VK Patel, VK Singh
    Numerical Methods for Partial Differential Equations 34 (5), 1781-1798 , 2018
    2018
    Citations: 29
  • Application of Bernoulli matrix method for solving two-dimensional hyperbolic telegraph equations with Dirichlet boundary conditions
    S Singh, VK Patel, VK Singh, E Tohidi
    Computers & Mathematics with Applications 75 (7), 2280-2294 , 2018
    2018
    Citations: 43
  • Application of wavelet collocation method for hyperbolic partial differential equations via matrices
    S Singh, VK Patel, VK Singh
    Applied Mathematics and Computation 320, 407-424 , 2018
    2018
    Citations: 49
  • Application of Piecewise Expansion based on 2D Legendre Wavelets for Fractional Partial Differential Equation
    VK Patel, VK Singh, EB Postnikov
    International Journal of Pure and Applied Mathematics 119 (16), 5159-5167 , 2018
    2018
    Citations: 8
  • Two‐dimensional shifted Legendre polynomial collocation method for electromagnetic waves in dielectric media via almost operational matrices
    VK Patel, S Singh, VK Singh
    Mathematical Methods in the Applied Sciences 40 (10), 3698-3717 , 2017
    2017
    Citations: 43
  • Two-dimensional wavelets collocation method for electromagnetic waves in dielectric media
    VK Patel, S Singh, VK Singh
    Journal of Computational and Applied Mathematics 317, 307-330 , 2017
    2017
    Citations: 33

MOST CITED SCHOLAR PUBLICATIONS

  • Operational matrix approach for the solution of partial integro-differential equation
    S Singh, VK Patel, VK Singh
    Applied Mathematics and Computation 283, 195-207 , 2016
    2016
    Citations: 52
  • Numerical solution of nonlinear weakly singular partial integro-differential equation via operational matrices
    S Singh, VK Patel, VK Singh, E Tohidi
    Applied Mathematics and Computation 298, 310-321 , 2017
    2017
    Citations: 50
  • Application of wavelet collocation method for hyperbolic partial differential equations via matrices
    S Singh, VK Patel, VK Singh
    Applied Mathematics and Computation 320, 407-424 , 2018
    2018
    Citations: 49
  • Application of Bernoulli matrix method for solving two-dimensional hyperbolic telegraph equations with Dirichlet boundary conditions
    S Singh, VK Patel, VK Singh, E Tohidi
    Computers & Mathematics with Applications 75 (7), 2280-2294 , 2018
    2018
    Citations: 43
  • Two‐dimensional shifted Legendre polynomial collocation method for electromagnetic waves in dielectric media via almost operational matrices
    VK Patel, S Singh, VK Singh
    Mathematical Methods in the Applied Sciences 40 (10), 3698-3717 , 2017
    2017
    Citations: 43
  • Two dimensional wavelets collocation scheme for linear and nonlinear Volterra weakly singular partial integro-differential equations
    VK Patel, S Singh, VK Singh, E Tohidi
    International Journal of Applied and Computational Mathematics 4 (5), 132 , 2018
    2018
    Citations: 33
  • Two-dimensional wavelets collocation method for electromagnetic waves in dielectric media
    VK Patel, S Singh, VK Singh
    Journal of Computational and Applied Mathematics 317, 307-330 , 2017
    2017
    Citations: 33
  • Convergence rate of collocation method based on wavelet for nonlinear weakly singular partial integro‐differential equation arising from viscoelasticity
    S Singh, VK Patel, VK Singh
    Numerical Methods for Partial Differential Equations 34 (5), 1781-1798 , 2018
    2018
    Citations: 29
  • Numerical wavelets scheme to complex partial differential equation arising from Morlet continuous wavelet transform
    VK Patel, S Singh, VK Singh
    Numerical methods for partial differential equations 37 (2), 1163-1199 , 2020
    2020
    Citations: 17
  • An efficient matrix approach for the numerical solutions of electromagnetic wave model based on fractional partial derivative
    VK Patel, D Bahuguna
    Applied Numerical Mathematics 169, 1-20 , 2021
    2021
    Citations: 14
  • Lagrange operational matrix methods to Lane–Emden, Riccati’s and Bessel’s equations
    V Devi, RK Maurya, VK Patel, VK Singh
    International Journal of Applied and Computational Mathematics 5 (3), 79 , 2019
    2019
    Citations: 14
  • Numerical and approximate solutions for two-dimensional hyperbolic telegraph equation via wavelet matrices
    VK Patel, D Bahuguna
    Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. , 2022
    2022
    Citations: 9
  • Application of Piecewise Expansion based on 2D Legendre Wavelets for Fractional Partial Differential Equation
    VK Patel, VK Singh, EB Postnikov
    International Journal of Pure and Applied Mathematics 119 (16), 5159-5167 , 2018
    2018
    Citations: 8
  • Proximal Contractions for Multivalued Mappings with an Application to 2D Volterra Integral Equations
    VK Patel, H Ahmad, M Younis, H Gündoǧdu, N Barley
    Mathematics 12 (23), 3716 , 2024
    2024
    Citations: 4
  • An efficient finite difference scheme for fractional partial differential equation arising in electromagnetic waves model
    VK Patel
    International Journal of Nonlinear Analysis and Applications 14 (10), 163-178 , 2023
    2023
    Citations: 4
  • AgriTransformer: Synergizing Robust Deep Transformer model for Intelligent Farming
    V Sharma, VK Patel, Y Sahu, M Vyas
    Springer Nature , 2024
    2024
    Citations: 1
  • A Machine Learning Model for Solving Lane–Emden Equation Using Legendre Wavelet Neural Network
    DKNK Vijay Kumar Patel, Abhishekh
    https://link.springer.com/chapter/10.1007/978-981-95-1058-0_24 , 2026
    2026
  • An Efficient Method for Solving Lane–Emden Equation Using Legendre Neural Network
    VK Patel, V Sharma, N Kumar, AK Tiwari
    https://link.springer.com/chapter/10.1007/978-981-96-5732-2_24 , 2025
    2025
  • A modified weighted model of annual rainfall forecasting using fuzzy time series techniques
    BP Singh, Rinku, Abhishekh, AK Nishad, VK Patel
    Life Cycle Reliability and Safety Engineering, 1-11 , 2025
    2025
  • A New Moving Average Time Series Forecasting Model Using Frequency Approach in Fuzzy Environment,
    Abhishekh, D Kumar, VK Patel
    Springer , 2024
    2024