An efficient difference scheme for the non-Fickian time-fractional diffusion equations with variable coefficient

DOI10.1016/J.AML.2021.107489OpenAlexW3175696994MaRDI QIDQ2235057

Maohua Ran, Zhouping Feng, Yang Liu

Publication date: 19 October 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107489

zbMATH Keywords

stabilityconvergencefractional derivativenon-Fickian diffusion equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Statistical mechanics of polymers (82D60) 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) Integro-partial differential equations (35R09)

Related Items (1)

A stable second-order difference scheme for the generalized time-fractional non-Fickian delay reaction-diffusion equations

Cites Work

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• Long time behavior of non-Fickian delay reaction-diffusion equations
• A new look to non-Fickian diffusion
• A second order approximation for quasilinear non-Fickian diffusion models
• A fast difference scheme for the variable coefficient time-fractional diffusion wave equations
• A fully discrete difference scheme for a diffusion-wave system

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