A Linearized Spectral-Galerkin Method for Three-Dimensional Riesz-Like Space Fractional Nonlinear Coupled Reaction-Diffusion Equations

DOI10.4208/NMTMA.OA-2020-0093zbMath1488.65501OpenAlexW3171292932MaRDI QIDQ5017528

Ling-Ling Wang, Shimin Guo, Ying Wang, Liquan Mei, Wen-Jing Yan

Publication date: 17 December 2021

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.oa-2020-0093

zbMATH Keywords

stability and convergenceLegendre-Galerkin spectral methodnonlinear coupled reaction-diffusion equationsRiesz-like fractional derivative

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Chemically reacting flows (80A32) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Direct numerical methods for linear systems and matrix inversion (65F05) Fractional partial differential equations (35R11) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

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