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International Journal of Computer Mathematics Volume 95, 2018 - Issue 6-7: Advances on Computational Fractional Partial Differential Equations
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Original Articles

Efficient time discretization scheme for nonlinear space fractional reaction–diffusion equations

O. S. IyiolaDepartment of Mathematics, Minnesota State University, Moorhead, MN, USA;Department of Mathematical Sciences, University of Wisconsin-Milwaukee, WI, USACorrespondence[email protected]
[email protected]
,
E. O. Asante-AsamaniDepartment of Mathematics and Computer Science, Drake University, Des Moines, IA, USA
,
K. M. FuratiDepartment of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
,
A. Q. M. KhaliqDepartment of Mathematical Sciences, Middle Tennessee State University, Murfreesboro, TN, USA
&
B. A. WadeDepartment of Mathematical Sciences, University of Wisconsin-Milwaukee, WI, USA
Pages 1274-1291 | Received 27 Mar 2017, Accepted 29 Sep 2017, Published online: 29 Nov 2017

Citations (8)

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Read on this site (3)

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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Dongdong Hu & Xuenian Cao. (2020) A fourth-order compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction–diffusion equation. International Journal of Computer Mathematics 97:9, pages 1928-1948.
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Jorge Eduardo Macías-Díaz & Bilge İnan. (2019) Numerical efficiency of some exponential methods for an advection–diffusion equation. International Journal of Computer Mathematics 96:5, pages 1005-1029.
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Articles from other publishers (5)

Mostafa Abbaszadeh, Amirreza Khodadadian, Maryam Parvizi & Mehdi Dehghan. (2024) Investigation of combustion model via the local collocation technique based on moving Taylor polynomial (MTP) approximation/domain decomposition method with error analysis. Engineering Analysis with Boundary Elements 159, pages 288-301.
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Sapna Pandit. (2023) Wavelets computational modeling of nonlinear coupled reaction–diffusion models arising in chemical processes. Mathematical Methods in the Applied Sciences 46:18, pages 18633-18650.
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Yusuf O. Afolabi, Toheeb A. Biala, Olaniyi S. Iyiola, Abdul Q. M. Khaliq & Bruce A. Wade. (2022) A Second-Order Crank-Nicolson-Type Scheme for Nonlinear Space–Time Reaction–Diffusion Equations on Time-Graded Meshes. Fractal and Fractional 7:1, pages 40.
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T.A. Biala & A.Q.M. Khaliq. (2021) Predictor-corrector schemes for nonlinear space-fractional parabolic PDEs with time-dependent boundary conditions. Applied Numerical Mathematics 160, pages 1-22.
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Salvador Flores, Jorge E. Macías-Díaz & Ahmed S. Hendy. (2019) Discrete monotone method for space-fractional nonlinear reaction–diffusion equations. Advances in Difference Equations 2019:1.
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