A fractional alternating-direction implicit method for a multi-term time-space fractional Bloch-Torrey equations in three dimensions

DOI10.1016/j.camwa.2018.11.035zbMath1442.65154OpenAlexW2905420753WikidataQ128745481 ScholiaQ128745481MaRDI QIDQ2203191

Ruige Chen, Fawang Liu, V. V. Anh

Publication date: 5 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.11.035

zbMATH Keywords

stabilityconvergencealternating-direction methodfractional Bloch-Torrey equationfractional centred differencemulti-term time-space fractional PDEs

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)

Related Items (5)

A novel alternating-direction implicit spectral Galerkin method for a multi-term time-space fractional diffusion equation in three dimensions ⋮ Efficient numerical methods for the nonlinear two-sided space-fractional diffusion equation with variable coefficients ⋮ Finite difference/finite element method for two-dimensional time-space fractional Bloch-Torrey equations with variable coefficients on irregular convex domains ⋮ Numerical approximation of 2D multi-term time and space fractional Bloch-Torrey equations involving the fractional Laplacian ⋮ Inverse problem for a multi-parameters space-time fractional diffusion equation with nonlocal boundary conditions: operational calculus approach

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