Maximum modulus principle estimates for one dimensional fractional diffusion equation

DOI10.1007/s11766-015-3316-5zbMath1349.35417OpenAlexW2209488446MaRDI QIDQ530744

Lin Zhu, Hong-Xing Rui

Publication date: 10 August 2016

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-015-3316-5

zbMATH Keywords

finite difference schemenumerical analysisfractional diffusion equationGrunwald approximationthe maximum modulus principle

Mathematics Subject Classification ID

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) Fractional partial differential equations (35R11)

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A second-order uniformly stable explicit asymmetric discretization method for one-dimensional fractional diffusion equations ⋮ A semi-adaptive preservative scheme for a fractional quenching convective-diffusion problem ⋮ A note on the adaptive numerical solution of a Riemann-Liouville space-fractional Kawarada problem

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