Fourth-order compact schemes for the numerical simulation of coupled Burgers’ equation HP Bhatt, AQM Khaliq Computer Physics Communications 200, 117-138, 2016 | 88 | 2016 |
The locally extrapolated exponential time differencing LOD scheme for multidimensional reaction–diffusion systems HP Bhatt, AQM Khaliq Journal of Computational and Applied Mathematics 285, 256-278, 2015 | 36 | 2015 |
The locally extrapolated exponential splitting scheme for multi-dimensional nonlinear space-fractional Schrödinger equations X Liang, AQM Khaliq, H Bhatt, KM Furati Numerical Algorithms, 1-20, 2017 | 34 | 2017 |
Higher order exponential time differencing scheme for system of coupled nonlinear Schrödinger equations HP Bhatt, AQM Khaliq Applied Mathematics and Computation 228, 271-291, 2014 | 27 | 2014 |
A high-order implicit–explicit Runge–Kutta type scheme for the numerical solution of the Kuramoto–Sivashinsky equation HP Bhatt, A Chowdhury International Journal of Computer Mathematics 98 (6), 1254-1273, 2021 | 13 | 2021 |
A compact fourth-order L-stable scheme for reaction–diffusion systems with nonsmooth data HP Bhatt, AQM Khaliq Journal of Computational and Applied Mathematics 299, 176-193, 2016 | 13 | 2016 |
Efficient high-order compact exponential time differencing method for space-fractional reaction-diffusion systems with nonhomogeneous boundary conditions HP Bhatt, AQM Khaliq, KM Furati Numerical Algorithms 83, 1373-1397, 2020 | 12 | 2020 |
Efficient Krylov-based exponential time differencing method in application to 3D advection-diffusion-reaction systems HP Bhatt, AQM Khaliq, BA Wade Applied Mathematics and Computation 338, 260-273, 2018 | 12 | 2018 |
Fast high-order method for multi-dimensional space-fractional reaction–diffusion equations with general boundary conditions M Almushaira, H Bhatt, AM Al-rassas Mathematics and Computers in Simulation 182, 235-258, 2021 | 9 | 2021 |
Comparative analysis of numerical methods for the multidimensional Brusselator system H Bhatt, A Chowdhury Open journal of mathematical sciences, 2019 | 5 | 2019 |
A compact fourth-order implicit-explicit Runge-Kutta type scheme for numerical solution of the Kuramoto-Sivashinsky equation H Bhatt, A Chowdhury arXiv preprint arXiv:1911.12183, 2019 | 4 | 2019 |
Exponential time differencing schemes for the 3-coupled nonlinear fractional Schrödinger equation X Liang, H Bhatt Advances in Difference Equations, 1-17, 2018 | 2 | 2018 |
Numerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivatives HP Bhatt International Journal of Computer Mathematics 100 (1), 47-68, 2023 | 1 | 2023 |
Fourier Spectral High-Order Time-Stepping Method for Numerical Simulation of the Multi-Dimensional Allen–Cahn Equations H Bhatt, J Joshi, I Argyros Symmetry 13 (2), 245, 2021 | 1 | 2021 |
Fast and accurate high-order method for high dimensional space-fractional reaction-diffusion equation with general boundary conditions A Mustafa, H Bhatt arXiv preprint arXiv:2003.13569, 2020 | 1 | 2020 |
Second-order time integrators with the Fourier spectral method in application to multidimensional space-fractional FitzHugh-Nagumo model H Bhatt Electronic Research Archive 31 (12), 7284-7306, 2023 | | 2023 |
Efficient and accurate exponential time differencing schemes for systems of nonlinear time dependent partial differential equations HP Bhatt Middle Tennessee State University, 2017 | | 2017 |