| Mukesh Kumar Rawani, Amit K. Verma, Lajja Verma, Numerical treatment of Burgers’ equation based on weakly L-stable generalized time integration formula with the NSFD scheme, Applied Mathematics and Computation, Vol. 467 (2024) 128485 (Elsevier), DOI: https://doi.org/10.1016/j.amc.2023.128485
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| Mukesh Kumar Rawani, Amit K. Verma, Carlo Cattani, A novel hybrid approach for computing numerical solution of the time-fractional nonlinear one and two-dimensional partial integro-differential equation, Communications in Nonlinear Science and Numerical Simulation, Vol. 118 (2023) 106986, (Elsevier).DOI: doi.org/10.1016/j.cnsns.2022.106986. |
| Amit K. Verma and Mukesh Kumar Rawani, Numerical Solutions of generalized Rosenau- KDV-RLW equation by using Haar wavelet collocation approach coupled with NSFD scheme and quasilinearization, Numerical Methods for Partial Differential Equations, Vol. 39 (2023) 1085– 1107,(Wiley).DOI: https://doi.org/10.1002/num.22925. |
| Mukesh Kumar Rawani, Lajja Verma, Amit K. Verma, Ravi P. Agarwal, On a weakly L-stable time integration formula coupled with nonstandard finite difference scheme with application to nonlinear parabolic PDEs, Mathematical Methods in Applied Sciences, Vol. 45: 1276-1298. DOI:doi:10.1002/mma.7853 (Wiley). |
| Amit K. Verma, Mukesh Kumar Rawani, Carlo Cattani, A numerical scheme for a class of generalized Burgers’ equation based on Haar wavelet nonstandard finite difference method,Applied Numerical Mathematics, Volume 168, October, Pages 41-54, 2021, (Elsevier). DOI:https://doi.org/10.1016/j.apnum.2021.05.019. |
| Amit K. Verma, Mukesh Kumar Rawani, Ravi P. Agarwal, A novel approach to compute the numerical solution of variable coefficient fractional Burgers’ equation with delay,Journal ofApplied and Computational Mechanics, 7(3), 1550-1564, (2021), (Shahid Chamran University of Ahvaz, Iran).DOI: 0.22055/JACM.2021.35574.2689 |
| Amit K. Verma, Mukesh Kumar Rawani, Ravi P Agarwal, A high-order weakly L-stable time integration scheme to solve Burgers’ equation, Computation, Vol.8(3), 72, 2020, (MDPI). DOI: https://doi.org/10.3390/computation8030072 |
| Biswajit Pandit, Mukesh Kumar Rawani, Amit Kumar Verma, Carlo Cattani, Numerical approximation of higher order singular boundary value problem by using Haar function,Journal of Mathematical Chemistry, Vol.61(3), 539-568, 2023,(Springer).DOI: https://doi.org/10.1007/s10910-022-01421-z. |
| Mukesh Kumar Rawani, Amit Kumar Verma, Carlo Cattani, An efficient algorithm for solving the variable-order time-fractional generalized Burgers’ equation, Journal of Applied Mathematics and Computing, 1-23, 2024 ( Springer),DOI
https://doi.org/10.1007/s12190-024-02177-2. |
