A finite element approximation for a class of Caputo time-fractional diffusion equations

DOI10.1016/j.camwa.2019.05.031zbMath1442.65274arXiv1905.10657OpenAlexW2946127239WikidataQ127728061 ScholiaQ127728061MaRDI QIDQ2203196

Ismail Jamiai, Moulay Rchid Sidi Ammi, Delfim F. M. Torres

Publication date: 5 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.10657

zbMATH Keywords

finite element methodfinite difference methodfractional partial differential equations

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

Related Items (11)

Shifted fractional Jacobi collocation method for solving fractional functional differential equations of variable order ⋮ Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations ⋮ Highly accurate technique for solving distributed-order time-fractional-sub-diffusion equations of fourth order ⋮ A high-order compact finite difference scheme and its analysis for the time-fractional diffusion equation ⋮ Design and analysis of a numerical method for fractional neutron diffusion equation with delayed neutrons ⋮ Source term identification of time‐fractional diffusion equation under Robin boundary condition ⋮ A New Optimal $$L^{\infty }(H^1)$$–Error Estimate of a SUSHI Scheme for the Time Fractional Diffusion Equation ⋮ A new analysis for the convergence of the gradient discretization method for multidimensional time fractional diffusion and diffusion-wave equations ⋮ A high-order compact alternating direction implicit method for solving the 3D time-fractional diffusion equation with the Caputo-Fabrizio operator ⋮ A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients ⋮ Numerical investigation of two models of nonlinear fractional reaction subdiffusion equations

Uses Software

• FODE

Cites Work

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