A Galerkin finite element method for a class of time-space fractional differential equation with nonsmooth data

DOI10.1007/s10915-015-0107-3zbMath1360.65246OpenAlexW1687791782WikidataQ115382692 ScholiaQ115382692MaRDI QIDQ514461

Peng Guo, Yunying Zheng, Zhengang Zhao

Publication date: 2 March 2017

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

Full work available at URL: https://doi.org/10.1007/s10915-015-0107-3

zbMATH Keywords

numerical exampleGalerkin finite element methodsemidiscretizationCrank-Nicolson schemeRiesz fractional derivativefractional Ritz-Volterra projectionproduct trapezoidal methodtime-space fractional diffusion 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Fractional partial differential equations (35R11)

Related Items (10)

The unstructured mesh finite element method for the two-dimensional multi-term time-space fractional diffusion-wave equation on an irregular convex domain ⋮ High-order local discontinuous Galerkin algorithm with time second-order schemes for the two-dimensional nonlinear fractional diffusion equation ⋮ A Galerkin finite element method for the space Hadamard fractional partial differential equation ⋮ The non-uniform L1-type scheme coupling the finite volume method for the time-space fractional diffusion equation with variable coefficients ⋮ A Legendre spectral-finite difference method for Caputo-Fabrizio time-fractional distributed-order diffusion equation ⋮ The discontinuous Galerkin finite element method for fractional cable equation ⋮ Numerical approximation for fractional neutron transport equation ⋮ Error estimates of a spectral Petrov-Galerkin method for two-sided fractional reaction-diffusion equations ⋮ The time discontinuous space-time finite element method for fractional diffusion-wave equation ⋮ Analytical approximation of time-fractional telegraph equation with Riesz space-fractional derivative

Uses Software

• FODE

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