Implicit Runge-Kutta and spectral Galerkin methods for Riesz space fractional/distributed-order diffusion equation

DOI10.1007/s40314-020-1102-3zbMath1449.65283OpenAlexW3004496534MaRDI QIDQ2176190

Jingjun Zhao, Yanming Zhang, Yang Xu

Publication date: 4 May 2020

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

Full work available at URL: https://doi.org/10.1007/s40314-020-1102-3

zbMATH Keywords

stabilityconvergenceimplicit Runge-Kutta methodspectral Galerkin methodRiesz space fractional/distributed-order diffusion equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) 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) Fractional partial differential equations (35R11)

Related Items (3)

Solutions for a singular Hadamard-type fractional differential equation by the spectral construct analysis ⋮ Extremal solutions for a class of tempered fractional turbulent flow equations in a porous medium ⋮ A Note on Parallel Preconditioning for the All-at-Once Solution of Riesz Fractional Diffusion Equations

Uses Software

• RODAS

Cites Work

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