Spectral methods for two-dimensional space and time fractional Bloch-Torrey equations

DOI10.3934/dcdsb.2020065zbMath1447.78018OpenAlexW3003285428MaRDI QIDQ784298

Hong Lu, Mingji Zhang, Ji Li

Publication date: 3 August 2020

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020065

zbMATH Keywords

stabilityconvergencealternating direction implicit methodLegendre spectral methodspace and time fractional Bloch-Torrey equations

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with optics and electromagnetic theory (35Q60) 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) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Lasers, masers, optical bistability, nonlinear optics (78A60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Related Items (1)

A vertex-centred finite volume method for the 3D multi-term time and space fractional Bloch-Torrey equation with fractional Laplacian

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