High-order Time Stepping Schemes for Semilinear Subdiffusion Equations
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Publication:5134980
DOI10.1137/19M1261225zbMath1452.65252arXiv2003.03607MaRDI QIDQ5134980
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Publication date: 18 November 2020
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.03607
Error bounds for boundary value problems involving PDEs (65N15) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)
Related Items (11)
Optimal Long-Time Decay Rate of Numerical Solutions for Nonlinear Time-Fractional Evolutionary Equations ⋮ An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data ⋮ High-Order BDF Convolution Quadrature for Subdiffusion Models with a Singular Source Term ⋮ Convergence analysis of a fast second‐order time‐stepping numerical method for two‐dimensional nonlinear time–space fractional Schrödinger equation ⋮ A linearly stabilized convolution quadrature method for the time-fractional Allen-Cahn equation ⋮ Long time \(H^1\)-stability of fast \(\mathrm{L}2\)-\(1_\sigma\) method on general nonuniform meshes for subdiffusion equations ⋮ An \(H^1\) convergence of the spectral method for the time-fractional non-linear diffusion equations ⋮ A Parallel-in-Time Algorithm for High-Order BDF Methods for Diffusion and Subdiffusion Equations ⋮ Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data ⋮ Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data ⋮ Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations
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