A finite element method for the multiterm time-space Riesz fractional advection-diffusion equations in finite domain

DOI10.1155/2013/868035zbMath1275.65064OpenAlexW2006632746WikidataQ58917643 ScholiaQ58917643MaRDI QIDQ370281

Jingyu Xiao, Jingjun Zhao, Yang Xu

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/868035

zbMATH Keywords

stabilityconvergencefinite element methodnumerical examplesDiethelm fractional backward finite difference methodmultiterm time-space Riesz fractional advection-diffusion equations

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 (11)

Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations ⋮ Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations ⋮ Similarity solutions for multiterm time-fractional diffusion equation ⋮ Computational challenge of fractional differential equations and the potential solutions: a survey ⋮ The non-uniform L1-type scheme coupling the finite volume method for the time-space fractional diffusion equation with variable coefficients ⋮ Unnamed Item ⋮ A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation ⋮ Aθ-finite difference scheme based on cubic B-spline quasi-interpolation for the time fractional Cattaneo equation with Caputo–Fabrizio operator ⋮ Fourier spectral methods for some linear stochastic space-fractional partial differential equations ⋮ Fully discrete local discontinuous Galerkin approximation for time-space fractional subdiffusion/superdiffusion equations ⋮ Local discontinuous Galerkin method for nonlinear time-space fractional subdiffusion/superdiffusion equations

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