Two finite difference schemes for multi-dimensional fractional wave equations with weakly singular solutions

DOI10.1515/cmam-2020-0101zbMath1476.65191OpenAlexW3159070004MaRDI QIDQ823683

Martin Stynes, Jin-ye Shen, Zhi-zhong Sun

Publication date: 16 December 2021

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2020-0101

zbMATH Keywords

convergencedifference schemefast algorithmweak singularitymulti-dimensional time-fractional wave equation

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

\(\alpha\)-robust \(H^1\)-norm analysis of a finite element method for the superdiffusion equation with weak singularity solutions ⋮ Symmetric fractional order reduction method with \(L1\) scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type ⋮ A symmetric fractional-order reduction method for direct nonuniform approximations of semilinear diffusion-wave equations ⋮ A novel high-order finite-difference method for the time-fractional diffusion equation with smooth/nonsmooth solutions ⋮ \(H^1\)-analysis of H3N3-\(2_\sigma\)-based difference method for fractional hyperbolic equations ⋮ Local error estimates of the fourth-order compact difference scheme for a time-fractional diffusion-wave equation

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