Numerical Approximation of Semilinear Subdiffusion Equations with Nonsmooth Initial Data

DOI10.1137/18M1189750zbMath1422.65246MaRDI QIDQ5232296

Samir Karaa, Mariam Al-Maskari

Publication date: 2 September 2019

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

finite element methodLipschitz conditionconvolution quadratureoptimal error estimatenonsmooth initial datasemilinear fractional diffusion equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) 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) 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) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)

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