Alternating-direction implicit finite difference methods for a new two-dimensional two-sided space-fractional diffusion equation

DOI10.1186/s13662-018-1836-zzbMath1448.65125OpenAlexW2896711392MaRDI QIDQ1713831

Xiucao Yin, Shao-mei Fang, Chang-hong Guo

Publication date: 30 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1836-z

zbMATH Keywords

Richardson extrapolationADI methodsshifted left Grünwald formulastandard right Grünwald formulatwo-dimensional two-sided space-fractional diffusion equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) 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) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fractional partial differential equations (35R11)

Related Items (3)

Accuracy and speed of splitting methods for three-dimensional space-time fractional diffusion equation with \(\psi\)-Caputo derivatives ⋮ Parallel finite-difference algorithms for three-dimensional space-fractional diffusion equation with \(\psi\)-Caputo derivatives ⋮ Generalized finite difference method for a class of multidimensional space-fractional diffusion equations

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