Unconditionally optimal \(H^1\)-error estimate of a fast nonuniform \(\mathrm{L}2-1_\sigma\) scheme for nonlinear subdiffusion equations

DOI10.1007/s11075-022-01359-yOpenAlexW4285388960MaRDI QIDQ2699992

Yanyan Li

Publication date: 20 April 2023

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-022-01359-y

zbMATH Keywords

unconditional convergence\(H^1\)-error estimatethe fast schemethe nonuniform \(\mathrm{L}2-1_\sigma\) approximation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Exponential sums (11T23) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Fractional partial differential equations (35R11) Numerical analysis (65-XX)

Related Items (4)

A second-order difference scheme for the nonlinear time-fractional diffusion-wave equation with generalized memory kernel in the presence of time delay ⋮ Linearized fast time-stepping schemes for time-space fractional Schrödinger equations ⋮ \(\alpha\)-robust analysis of fast and novel two-grid FEM with nonuniform \(\mathrm{L}1\) scheme for semilinear time-fractional variable coefficient diffusion equations ⋮ A fast linearized Galerkin finite element method for the nonlinear multi-term time fractional wave equation

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