Application and analysis of spline approximation for time fractional mobile–immobile advection‐dispersion equation

DOI10.1002/num.22266zbMath1407.65193OpenAlexW2887092979WikidataQ115397942 ScholiaQ115397942MaRDI QIDQ4623406

Publication date: 15 February 2019

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22266

zbMATH Keywords

stability convergence time fractional parametric cubic spline mobile-immobile equation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)

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Chebyshev spectral method for the variable-order fractional mobile-immobile advection-dispersion equation arising from solute transport in heterogeneous media ⋮ An unconditionally stable algorithm for multiterm time fractional advection–diffusion equation with variable coefficients and convergence analysis ⋮ Second-order convergent scheme for time-fractional partial differential equations with a delay in time ⋮ Natural transform decomposition method for the numerical treatment of the time fractional <scp>Burgers–Huxley</scp> equation ⋮ Numerical solutions of time fractional Zakharov-Kuznetsov equation via natural transform decomposition method with nonsingular kernel derivatives ⋮ A numerical solution strategy based on error analysis for time-fractional mobile/immobile transport model

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