Unconditionally optimal convergence of a linearized Galerkin FEM for the nonlinear time-fractional mobile/immobile transport equation

DOI10.1016/j.apnum.2021.10.004zbMath1484.65220OpenAlexW3205545207MaRDI QIDQ2057281

Ying Liu, Jun-Gang Wang, Zhen Guan, Yu-Feng Nie

Publication date: 9 December 2021

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.10.004

zbMATH Keywords

unconditionally optimal error estimatelinearized Galerkin FEMnonlinear time-fractional mobile/immobile equationtemporal-spatial error splitting argument

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 (5)

Unconditionally optimal error estimates of a linearized weak Galerkin finite element method for semilinear parabolic equations ⋮ Unconditional convergence analysis of two linearized Galerkin FEMs for the nonlinear time-fractional diffusion-wave equation ⋮ Convergence and superconvergence analysis of finite element methods for nonlinear Ginzburg-Landau equation with Caputo derivative ⋮ Second-order error analysis for fractal mobile/immobile Allen-Cahn equation on graded meshes ⋮ Linearized Transformed $L1$ Galerkin FEMs with Unconditional Convergence for Nonlinear Time Fractional Schrödinger Equations

Uses Software

• FreeFem++

Cites Work

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