Sinc-Galerkin method and a higher-order method for a 1D and 2D time-fractional diffusion equations

DOI10.1186/s13661-024-01915-6MaRDI QIDQ6640210

Xianmin Pan, Da Xu, Man Luo

Publication date: 18 November 2024

Published in: Boundary Value Problems (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergencesinc-Galerkin methodtime-fractional diffusion equation

Mathematics Subject Classification ID

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) 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) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Exponential and trigonometric functions (33B10) Fractional partial differential equations (35R11)

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