An implicit difference scheme with the KPS preconditioner for two-dimensional time-space fractional convection-diffusion equations

DOI10.1016/j.camwa.2020.02.014zbMath1446.65145OpenAlexW3011992214MaRDI QIDQ2192536

Luigi Brugnano, Cheng-Jian Zhang, Yongtao Zhou

Publication date: 17 August 2020

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.02.014

zbMATH Keywords

stabilityconvergencefractional convection-diffusion equationsimplicit difference schemeKronecker product splitting preconditioner

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) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06) Preconditioners for iterative methods (65F08) Fractional partial differential equations (35R11)

Related Items (6)

Local discontinuous Galerkin method based on a family of second-order time approximation schemes for fractional mobile/immobile convection-diffusion equations ⋮ Implicit-explicit time integration of nonlinear fractional differential equations ⋮ The numerical solutions for the nonhomogeneous Burgers' equation with the generalized Hopf-Cole transformation ⋮ Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics ⋮ Mass- and energy-conserving difference schemes for nonlinear fractional Schrödinger equations ⋮ Efficient second-order ADI difference schemes for three-dimensional Riesz space-fractional diffusion equations

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