A class of efficient difference method for time fractional reaction-diffusion equation

DOI10.1007/S40314-018-0579-5zbMath1404.65107OpenAlexW2784970656MaRDI QIDQ1993429

Junxia Zhang, Xiao-zhong Yang

Publication date: 5 November 2018

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-018-0579-5

zbMATH Keywords

stabilityconvergencenumerical experimentsexplicit-implicit (E-I) and implicit-explicit (I-E) difference methodstime fractional reaction-diffusion equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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) Computer aspects of numerical algorithms (65Y99) Fractional partial differential equations (35R11)

Related Items (10)

A new parallel difference algorithm based on improved alternating segment Crank-Nicolson scheme for time fractional reaction-diffusion equation ⋮ A class of explicit implicit alternating difference schemes for generalized time fractional Fisher equation ⋮ A high order numerical scheme for solving a class of non‐homogeneous time‐fractional reaction diffusion equation ⋮ Approximate solution of the multi-term time fractional diffusion and diffusion-wave equations ⋮ Numerical solution for solving fractional parabolic partial differential equations ⋮ An efficient alternating segment parallel finite difference method for multi-term time fractional diffusion-wave equation ⋮ An efficient parallel approximate algorithm for solving time fractional reaction-diffusion equations ⋮ A robust adaptive moving mesh technique for a time-fractional reaction-diffusion model ⋮ A numerical approach for a class of time-fractional reaction-diffusion equation through exponential B-spline method ⋮ An efficient numerical scheme and its stability analysis for a time-fractional reaction diffusion model

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