Finite difference/finite element method for tempered time fractional advection-dispersion equation with fast evaluation of Caputo derivative

DOI10.1007/s10915-020-01238-5zbMath1453.65311OpenAlexW3032943275MaRDI QIDQ2187029

Ai-Guo Xiao, Jiliang Cao, Weiping Bu

Publication date: 10 June 2020

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-020-01238-5

zbMATH Keywords

convergence analysisstability analysisfinite element methodfinite difference methodfast evaluationtime fractional advection-dispersion equation

Mathematics Subject Classification ID

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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)

Related Items (10)

Convergence analysis of a LDG method for time-space tempered fractional diffusion equations with weakly singular solutions ⋮ Fast difference scheme for a tempered fractional Burgers equation in porous media ⋮ Analytical and numerical investigation on the tempered time-fractional operator with application to the Bloch equation and the two-layered problem ⋮ Two efficient exponential energy-preserving schemes for the fractional Klein-Gordon Schrödinger equation ⋮ Block-centered finite difference method for a tempered subdiffusion model with time-dependent coefficients ⋮ An efficient conservative splitting characteristic difference method for solving 2-d space-fractional advection-diffusion equations ⋮ A fast Euler-Maruyama method for Riemann-Liouville stochastic fractional nonlinear differential equations ⋮ A positivity-preserving and robust fast solver for time-fractional convection-diffusion problems ⋮ A fast Euler-Maruyama method for fractional stochastic differential equations ⋮ Fast difference scheme for the reaction-diffusion-advection equation with exact artificial boundary conditions

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