An Improved Two-Grid Technique for the Nonlinear Time-Fractional Parabolic Equation Based on the Block-Centered Finite Difference Method

DOI10.4208/jcm.2011-m2020-0124zbMath1499.65410OpenAlexW4211222204MaRDI QIDQ5079560

Chuanjun Chen, Yanping Chen, Xiao-Li Li

Publication date: 27 May 2022

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jcm.2011-m2020-0124

zbMATH Keywords

error estimatesnumerical experimentsnonlineartime-fractional parabolic equationimproved two-grid

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Fractional partial differential equations (35R11)

Related Items (6)

Two-grid algorithms based on FEM for nonlinear time-fractional wave equations with variable coefficient ⋮ A fast time stepping Legendre spectral method for solving fractional cable equation with smooth and non-smooth solutions ⋮ \(\alpha\)-robust analysis of fast and novel two-grid FEM with nonuniform \(\mathrm{L}1\) scheme for semilinear time-fractional variable coefficient diffusion equations ⋮ Two-grid \(H^1 \)-Galerkin mixed finite elements combined with \(L1\) scheme for nonlinear time fractional parabolic equations ⋮ Two-grid fully discrete finite element algorithms on temporal graded meshes for nonlinear multi-term time-fractional diffusion equations with variable coefficient ⋮ A Mass-Preserving Characteristic Finite Difference Method For Miscible Displacement Problem

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