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J. Alba-Pérez & J. E. Macías-Díaz. (2021) A positive and bounded convergent scheme for general space-fractional diffusion-reaction systems with inertial times. International Journal of Computer Mathematics 98:6, pages 1071-1097.
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Carlos Alberto Molina-Holguín, Ernesto Urenda-Cázares, Jorge E. Macías-Díaz & Armando Gallegos. (2024) Theoretical Investigation on the Conservation Principles of an Extended Davey–Stewartson System with Riesz Space Fractional Derivatives of Different Orders. Fractal and Fractional 8:4, pages 206.
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J.E. Macías-Díaz, Adán J. Serna-Reyes & Luis A. Flores-Oropeza. (2024) A stable and convergent finite-difference model which conserves the positivity and the dissipativity of Gibbs’ free energy for a nonlinear combustion equation. Journal of Computational and Applied Mathematics 437, pages 115492.
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Jorge E. Herrera-Serrano, José A. Guerrero-Díaz-de-León, Iliana E. Medina-Ramírez & Jorge E. Macías-Díaz. (2023) A multiconsistent computational methodology to resolve a diffusive epidemiological system with effects of migration, vaccination and quarantine. Computer Methods and Programs in Biomedicine 236, pages 107526.
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Stefania Tomasiello & Jorge E. Macías-Díaz. (2023) A Mini-Review on Recent Fractional Models for Agri-Food Problems. Mathematics 11:10, pages 2316.
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Shangyuan Zhang & Yufeng Nie. (2022) A well‐posed parameter identification for nonlocal diffusion problems. Mathematical Methods in the Applied Sciences 45:16, pages 9194-9217.
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Jorge E. Macías-Díaz & Tassos Bountis. (2022) An Efficient Dissipation-Preserving Numerical Scheme to Solve a Caputo–Riesz Time-Space-Fractional Nonlinear Wave Equation. Fractal and Fractional 6:9, pages 500.
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Adán Serna-Reyes, Jorge E. Macías-Díaz, Armando Gallegos & Nuria Reguera. (2022) CMMSE: analysis and comparison of some numerical methods to solve a nonlinear fractional Gross–Pitaevskii system. Journal of Mathematical Chemistry 60:7, pages 1272-1286.
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Adán J. Serna-Reyes & J.E. Macías-Díaz. (2022) Theoretical analysis of a conservative finite-difference scheme to solve a Riesz space-fractional Gross–Pitaevskii system. Journal of Computational and Applied Mathematics 404, pages 113413.
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J.E. Macías-Díaz. (2022) Design and analysis of a dissipative scheme to solve a generalized multi-dimensional Higgs boson equation in the de Sitter space–time. Journal of Computational and Applied Mathematics 404, pages 113120.
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J.E. Macías-Díaz. (2022) On a discrete model that dissipates the free energy of a time-space fractional generalized nonlinear parabolic equation. Applied Numerical Mathematics 172, pages 215-223.
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Mingfa Fei, Wenhao Li & Yulian Yi. (2022) Numerical analysis of a fourth-order linearized difference method for nonlinear time-space fractional Ginzburg-Landau equation. Electronic Research Archive 30:10, pages 3635-3659.
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Jorge E. Macías-Díaz, Nuria Reguera & Adán J. Serna-Reyes. (2021) An Efficient Discrete Model to Approximate the Solutions of a Nonlinear Double-Fractional Two-Component Gross–Pitaevskii-Type System. Mathematics 9:21, pages 2727.
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Dongdong Hu, Wenjun Cai, Zhuangzhi Xu, Yonghui Bo & Yushun Wang. (2021) Dissipation-preserving Fourier pseudo-spectral method for the space fractional nonlinear sine–Gordon equation with damping. Mathematics and Computers in Simulation 188, pages 35-59.
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Adán J. Serna-Reyes & Jorge E. Macías-Díaz. (2021) A Mass- and Energy-Conserving Numerical Model for a Fractional Gross–Pitaevskii System in Multiple Dimensions. Mathematics 9:15, pages 1765.
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Luis F. Muñoz-Pérez & J.E. Macías-Díaz. (2021) An implicit and convergent method for radially symmetric solutions of Higgs' boson equation in the de Sitter space–time. Applied Numerical Mathematics 165, pages 270-289.
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Jorge E. Macías-Díaz. (2020) A numerically efficient variational algorithm to solve a fractional nonlinear elastic string equation. Numerical Algorithms 86:1, pages 75-102.
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Luis F. Muñoz-Pérez & J.E. Macías-Díaz. (2020) On the solution of a generalized Higgs boson equation in the de Sitter space-time through an efficient and Hamiltonian scheme. Journal of Computational Physics 417, pages 109568.
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J.E. Macías-Díaz. (2020) An easy-to-implement parallel algorithm to simulate complex instabilities in three-dimensional (fractional) hyperbolic systems. Computer Physics Communications 254, pages 107383.
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Ahmed S. Hendy & Jorge E. Macías-Díaz. (2019) A Conservative Scheme with Optimal Error Estimates for a Multidimensional Space–Fractional Gross–Pitaevskii Equation. International Journal of Applied Mathematics and Computer Science 29:4, pages 713-723.
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Aiguo Xiao, Chenxi Wang & Junjie Wang. (2019) Conservative linearly-implicit difference scheme for a class of modified Zakharov systems with high-order space fractional quantum correction. Applied Numerical Mathematics 146, pages 379-399.
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Jorge E. Macías-Díaz. (2019) Numerically Efficient Methods for Variational Fractional Wave Equations: An Explicit Four-Step Scheme. Mathematics 7:11, pages 1095.
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J.E. Macías-Díaz. (2019) A parallelized computational model for multidimensional systems of coupled nonlinear fractional hyperbolic equations. Journal of Computational Physics, pages 109043.
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J. E. Macías-Díaz & Ahmed S. Hendy. (2019) Numerical simulation of Turing patterns in a fractional hyperbolic reaction-diffusion model with Grünwald differences. The European Physical Journal Plus 134:7.
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