Higher order time stepping methods for subdiffusion problems based on weighted and shifted Grünwald-Letnikov formulae with nonsmooth data

DOI10.1007/s10915-020-01223-yzbMath1447.65032OpenAlexW3027508994MaRDI QIDQ2188041

Yanyong Wang, Yubin Yan, Yuyuan Yan, Amiya K. Pani

Publication date: 3 June 2020

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-020-01223-y

zbMATH Keywords

Laplace transformCaputo derivativesubdiffusion equationhigher-order time stepping schemesweighted and shifted Grünwald-Letnikov formulae

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) 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) Laplace transform (44A10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for PDEs with pseudodifferential operators (35S10) Fractional partial differential equations (35R11)

Related Items (5)

A single-step correction scheme of Crank-Nicolson convolution quadrature for the subdiffusion equation ⋮ Crank-Nicolson schemes for sub-diffusion equations with nonsingular and singular source terms in time ⋮ A preconditioning technique for an all-at-once system from Volterra subdiffusion equations with graded time steps ⋮ Error estimates of a continuous Galerkin time stepping method for subdiffusion problem ⋮ Finite difference method for time-fractional Klein-Gordon equation on an unbounded domain using artificial boundary conditions

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