Grünwald-Letnikov scheme for a multi-term time fractional reaction-subdiffusion equation

DOI10.1016/j.cnsns.2024.107930MaRDI QIDQ6118864

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Publication date: 21 March 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

Grünwald-Letnikov schemepointwise-in-time error estimatereaction-subdiffusionmulti-term fractional

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

Cites Work

• The Grünwald-Letnikov method for fractional differential equations
• Sharp error estimate of Grünwald-Letnikov scheme for a multi-term time fractional diffusion equation
• Sharp error estimate of a Grünwald-Letnikov scheme for reaction-subdiffusion equations
• Numerical stability of Grünwald-Letnikov method for time fractional delay differential equations
• Error analysis of a finite difference method on graded meshes for a multiterm time-fractional initial-boundary value problem
• Error analysis of a finite element method with GMMP temporal discretisation for a time-fractional diffusion equation
• An analysis of the Grünwald-Letnikov scheme for initial-value problems with weakly singular solutions
• Pointwise-in-time error estimate of an ADI scheme for two-dimensional multi-term subdiffusion equation
• Consistency analysis of the Grünwald–Letnikov approximation in a bounded domain
• Numerical Approximation of Semilinear Subdiffusion Equations with Nonsmooth Initial Data
• Spectral Methods

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