An ADI compact difference scheme for the two-dimensional semilinear time-fractional mobile-immobile equation
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Publication:1983775
DOI10.1007/s40314-020-01345-xzbMath1476.35150OpenAlexW3092112468MaRDI QIDQ1983775
Publication date: 10 September 2021
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-020-01345-x
stabilityconvergencenumerical experimentsADI compact difference schemesemilinear time-fractional mobile-immobile equations
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) Initial-boundary value problems for PDEs of mixed type (35M13)
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Numerical schemes for the time-fractional mobile/immobile transport equation based on convolution quadrature ⋮ Linear regularized finite difference scheme for the quasilinear subdiffusion equation ⋮ Numerical solution of two-dimensional time fractional mobile/immobile equation using explicit group methods ⋮ Fast TT-M fourth-order compact difference schemes for a two-dimensional space fractional Gray-Scott model ⋮ Second-order error analysis for fractal mobile/immobile Allen-Cahn equation on graded meshes ⋮ Regularity and large‐time behavior of solutions for fractional semilinear mobile–immobile equations ⋮ A New Compact Numerical Scheme for Solving Time Fractional Mobile-Immobile Advection-Dispersion Model ⋮ Fourth-order compact difference schemes for the two-dimensional nonlinear fractional mobile/immobile transport models ⋮ A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem ⋮ The regularized mesh scheme to solve quasilinear parabolic equation with time-fractional derivative ⋮ Unconditionally optimal convergence of a linearized Galerkin FEM for the nonlinear time-fractional mobile/immobile transport equation ⋮ Fast high-order compact difference scheme for the nonlinear distributed-order fractional Sobolev model appearing in porous media ⋮ The efficient alternating direction implicit Galerkin method for the nonlocal diffusion-wave equation in three dimensions ⋮ Decay solutions to abstract impulsive fractional mobile-immobile equations involving superlinear nonlinearities
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