V. Sharma, Vijay Kumar Patel, Y. Sahu, M. Vyas, AgriTransformer: Synergizing Robust Deep Transformer Model for Intelligent Farming. In: Sharma, H., Shrivastava, V., Tripathi, A.K., Wang, L. (eds) Communication and Intelligent Systems. IC- CIS 2024. Lecture Notes in Networks and Systems, vol 1374. Springer, Singapore. https://doi.org/10.1007/978-981-96-5732-2 29 (2025), SCOPUS.
B.P. Singh, Rinku, Abhishekh, A. K. Nishad, Vijay Kumar Patel, A modified weighted model of annual rainfall forecasting using fuzzy time series techniques. Life Cycle Reliab Saf Eng (2025), https : //doi.org/10.1007/s41872 − 025 − 00350 − 5, SCOPUS.
Vijay Kumar Patel, V. Sharma, N. Kumar, A. K. Tiwari. ”An Efficient Method for Solving Lane–Emden Equation Using Legendre Neural Network.” In International Confer- ence on Communication and Intelligent Systems, pp. 319-328. Singapore: Springer Nature Singapore, 2025, https : //link.springer.com/chapter/10.1007/978−981−96−5732−2 24, SCOPUS.
H. Ahmad, M. Younis, H. Gu ̈ndogˇdu, N. Barley, Vijay Kumar Patel, Proximal Contrac- tions for Multivalued Mappings with an Application to 2D Volterra Integral Equations, Mathematics 2024, 12(23), 3716; https : //doi.org/10.3390/math12233716, SCI.
Vijay Kumar Patel, An efficient finite difference scheme for fractional partial differential equation arising in electromagnetic waves model, Int. J. Nonlinear Anal. Appl. (2023), In Press, 1–16, dx.doi.org/10.22075/ijnaa.2023.28651.3962, SCOPUS.
Vijay Kumar Patel and Dhirendra Bahuguna, Numerical and approximate solutions for two-dimensional hyperbolic telegraph equation via wavelet matrices, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, (2022), doi.org/10.1007/ s40010-022-00779-8, SCI.
Vijay Kumar Patel and Dhirendra Bahuguna, An efficient matrix approach for the numerical solutions of electromagnetic wave model based on fractional partial derivative, Applied Numerical Mathematics, 169 (2021), 1-20, https://doi.org/10.1016/ j.apnum.2021.06.007, SCI.
Vijay Kumar Patel, Somveer Singh, Vineet Kumar Singh, Numerical Wavelets Scheme for Complex Partial Differential Equation arising from Morlet Continuous Wavelet Trans- form, Numerical Methods for Partial Differential Equations, 37(2) (2020), 1163- 1199, https://doi.org/10.1002/num.22572, SCI.
Vineeta Devi, Rahul Kumar Maurya, Vijay Kumar Patel, Vineet Kumar Singh, Lagrange Oper- ational Matrix Method to Lane-Emden, Riccati’s and Bessel’s Equations, International Journal of Applied and Computational Mathematics, (2019), https://doi.org/ 10.1007/s40819-019-0655-6, SCOPUS.
Somveer Singh, Vijay Kumar Patel, Vineet Kumar Singh, Emran Tohidi, Application of Bernoulli Matrix Method for Solving Two-dimensional Hyperbolic Telegraph Equation with Dirichlet Boundary Conditions, Computers & Mathematics with Applications, 75 (2018), 2280-2294, https://doi.org/10.1016/j.camwa.2017.12.003, SCI.
Vijay Kumar Patel, Vineet Kumar Singh, E. B. Postnikov, Application of Piece-wise Expansion based on 2D Legendre Wavelets for Fractional Partial Differential Equation, International Journal of Pure and Applied Mathematics, 119 (16b) (2018), 5159-5167, https://www.acadpubl.eu/hub/2018-119-16/2/531.pdf, SCOPUS.
Somveer Singh, Vijay Kumar Patel, Vineet Kumar Singh, Convergence rate of collocation method based on wavelet for nonlinear weakly singular partial integro-differential equation arising from viscoelasticity, Numerical Methods for Partial Differential Equations, 34 (5) (2018), 1781-1798, https://onlinelibrary.wiley.com/doi/full/10.1002/ num.22245, SCI.
Vijay Kumar Patel, Somveer Singh, Vineet Kumar Singh, E. Tohidi, Two-Dimensional Wavelets Collocation Scheme for Linear and Nonlinear Volterra Weakly Singular Partial Integro-Differential Equations, International Journal of Applied and Computational Mathematics, 4:32, 2018, https://doi.org/10.1007/s40819-018-0560-4, SCOPUS.
Somveer Singh, Vijay Kumar Patel, Vineet Kumar Singh, Application of wavelet collocation method for hyperbolic partial differential equations via matrices, Applied Mathematics and Computation, 320 (2018) 407-424, https://, SCI.
Vijay Kumar Patel, Somveer Singh, Vineet Kumar. Singh, Two-dimensional wavelet collocation method for electromagnetic waves in dielectric media, Journal of Computa- tional and Applied Mathematics, 317 (2017) 307-330, https://www.sciencedirect.com/ science/article/pii/S0377042716305593, SCI.
Somveer Singh, Vijay Kumar Patel, Vineet Kumar Singh, E. Tohidi, Numerical Solution of Nonlinear Weakly Singular Partial Integro-differential Equation via Operational Matrices, Applied Mathematics and Computation, Vol. 298 (2017), 310-321, ps://doi.org/ 10.1016/j.amc.2016.11.012, SCI.
Vijay Kumar Patel, Somveer Singh, Vineet Kumar Singh, Two-dimensional shifted Legendre polynomials collocation method for electromagnetic waves in dielectric media via almost operational matrices, Mathematical Methods in the Applied Sciences, 40 (2017) 3698-3717, https://doi.org/10.1002/mma.4257, SCI.
Somveer Singh, Vijay Kumar Patel, Vineet Kumar Singh, Operational Matrix Approach for the Solution of Partial Integro- Differential Equation, Applied Mathematics and Computation, Vol 283 (2016), pages 195-207, https://doi.org/10.1016/j.amc.2016.02.036, SCI.