Efficient numerical methods for the nonlinear two-sided space-fractional diffusion equation with variable coefficients

DOI10.1016/j.apnum.2020.05.016zbMath1446.65082OpenAlexW3034155805MaRDI QIDQ2192609

Fawang Liu, Shui-Ping Yang, Ian W. Turner, L. B. Feng

Publication date: 17 August 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.05.016

zbMATH Keywords

stabilityconvergencealternating direction implicit methodbi-conjugate gradient stabilized methodspace-fractional diffusion equation with variable coefficients

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Interacting random processes; statistical mechanics type models; percolation theory (60K35) 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) PDEs with low regular coefficients and/or low regular data (35R05) Fractional partial differential equations (35R11)

Related Items (3)

An implicit wavelet collocation method for variable coefficients space fractional advection-diffusion equations ⋮ A high-efficient accurate coupled mesh-free scheme for 2D/3D space-fractional convection-diffusion/Burgers' problems ⋮ An efficient second order stabilized scheme for the two dimensional time fractional Allen-Cahn equation

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