Improved and more feasible numerical methods for Riesz space fractional partial differential equations

DOI10.1016/j.amc.2014.03.103zbMath1334.65137OpenAlexW2002957232MaRDI QIDQ274986

F. Blanchet-Sadri, M. Dambrine

Publication date: 25 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.03.103

zbMATH Keywords

matrix transform methodPade approximation methodRiesz fractional advection-dispersion equationRiesz fractional diffusion equationstandard/shifted Grünwald method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11)

Related Items (10)

On a Riesz-Feller space fractional backward diffusion problem with a nonlinear source ⋮ Semianalytic solution of space-time fractional diffusion equation ⋮ Inverse problem for nonlinear backward space-fractional diffusion equation ⋮ Analytical and soliton solutions: nonlinear model of nanobioelectronics transmission lines ⋮ Memory-dependent derivative versus fractional derivative. II: Remodelling diffusion process ⋮ Regularization technique for an inverse space-fractional backward heat conduction problem ⋮ A hybrid algorithm for Caputo fractional differential equations ⋮ Existence and uniqueness of global mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay ⋮ Optimal regularization for an unknown source of space-fractional diffusion equation ⋮ High-order numerical method for two-dimensional Riesz space fractional advection-dispersion equation

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