On the solution of hyperbolic two-dimensional fractional systems via discrete variational schemes of high order of accuracy AS Hendy, JE Macías-Díaz, AJ Serna-Reyes Journal of Computational and Applied Mathematics 354, 612-622, 2019 | 17 | 2019 |
Theoretical analysis of a conservative finite-difference scheme to solve a Riesz space-fractional Gross–Pitaevskii system AJ Serna-Reyes, JE Macías-Díaz Journal of Computational and Applied Mathematics 404, 113413, 2022 | 11 | 2022 |
An efficient discrete model to approximate the solutions of a nonlinear double-fractional two-component gross–Pitaevskii-Type System JE Macías-Díaz, N Reguera, AJ Serna-Reyes Mathematics 9 (21), 2727, 2021 | 4 | 2021 |
A mass-and energy-conserving numerical model for a fractional Gross–Pitaevskii system in multiple dimensions AJ Serna-Reyes, JE Macías-Díaz Mathematics 9 (15), 1765, 2021 | 3 | 2021 |
A Convergent Three-Step Numerical Method to Solve a Double-Fractional Two-Component Bose–Einstein Condensate AJ Serna-Reyes, JE Macías-Díaz, N Reguera Mathematics 9 (12), 1412, 2021 | 3 | 2021 |
CMMSE: analysis and comparison of some numerical methods to solve a nonlinear fractional Gross–Pitaevskii system A Serna-Reyes, JE Macías-Díaz, A Gallegos, N Reguera Journal of Mathematical Chemistry 60 (7), 1272-1286, 2022 | 2 | 2022 |
A stable and convergent finite-difference model which conserves the positivity and the dissipativity of Gibbs’ free energy for a nonlinear combustion equation JE Macías-Díaz, AJ Serna-Reyes, LA Flores-Oropeza Journal of Computational and Applied Mathematics 437, 115492, 2024 | | 2024 |
Analysis of a scheme which preserves the dissipation and positivity of Gibbs' energy for a nonlinear parabolic equation with variable diffusion AJ Serna-Reyes, JE Macías-Díaz, N Reguera-López Applied Numerical Mathematics 183, 355-368, 2023 | | 2023 |
Dissipation-preserving methods for multidimensional nonlinear damped wave equations of fractional order AJ Serna Reyes Universidad Autónoma de Aguascalientes, 2019 | | 2019 |
A dissipation preserving method to solve a fractional generalization of a nonlinear combustion equation N Reguera, JE Macıas-Dıaz, AJ Serna-Reyes | | |