Numerical Method for the Time-Fractional Porous Medium Equation
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Publication:4629331
DOI10.1137/18M1192561zbMath1409.76091arXiv1805.10782OpenAlexW2804779735WikidataQ128198427 ScholiaQ128198427MaRDI QIDQ4629331
Publication date: 22 March 2019
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.10782
finite difference methodporous medium equationnonlinear diffusionfractional derivativeVolterra equation
Numerical methods for integral equations (65R20) PDEs in connection with fluid mechanics (35Q35) Other nonlinear integral equations (45G10) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Fractional partial differential equations (35R11)
Related Items (11)
Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line ⋮ Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: what could possibly go wrong? ⋮ A linear Galerkin numerical method for a quasilinear subdiffusion equation ⋮ Time fractional gradient flows: Theory and numerics ⋮ Time-fractional porous medium equation: Erdélyi-Kober integral equations, compactly supported solutions, and numerical methods ⋮ A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient ⋮ Erdélyi-Kober fractional integrals on Hardy space and BMO ⋮ A novel scheme to capture the initial dramatic evolutions of nonlinear subdiffusion equations ⋮ On a discrete composition of the fractional integral and Caputo derivative ⋮ Error of the Galerkin scheme for a semilinear subdiffusion equation with time-dependent coefficients and nonsmooth data ⋮ Numerical scheme for Erdélyi-Kober fractional diffusion equation using Galerkin-Hermite method
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