Crank-Nicolson WSGI difference scheme with finite element method for multi-dimensional time-fractional wave problem

DOI10.1007/s40314-018-0626-2zbMath1404.65161OpenAlexW2800689376WikidataQ129963094 ScholiaQ129963094MaRDI QIDQ1993499

Hong Li, Yang Liu, Yue Cao, Baoli Yin

Publication date: 5 November 2018

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

Full work available at URL: https://doi.org/10.1007/s40314-018-0626-2

zbMATH Keywords

finite element methoderror analysisCrank-Nicolson schemetime-fractional wave equationtime second-order WSGI discrete scheme

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) Fractional partial differential equations (35R11)

Related Items (7)

Efficient time second-order SCQ formula combined with a mixed element method for a nonlinear time fractional wave model ⋮ Efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation ⋮ Mixed finite element algorithm for a nonlinear time fractional wave model ⋮ Crank-Nicolson orthogonal spline collocation method combined with WSGI difference scheme for the two-dimensional time-fractional diffusion-wave equation ⋮ Finite element algorithm with a second‐order shifted composite numerical integral formula for a nonlinear time fractional wave equation ⋮ A class of shifted high-order numerical methods for the fractional mobile/immobile transport equations ⋮ The role of Hilbert-Schmidt SVD basis in Hermite-Birkhoff interpolation in fractional sense

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