Time fourth-order energy-preserving AVF finite difference method for nonlinear space-fractional wave equations

DOI10.1016/j.cam.2020.113227zbMath1459.65144OpenAlexW3092475539MaRDI QIDQ2222172

Baohui Hou, Dong Liang

Publication date: 3 February 2021

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

Full work available at URL: https://doi.org/10.1016/j.cam.2020.113227

zbMATH Keywords

convergenceHamiltonianenergy-preservingAVF methodnonlinear fractional wave equations

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) Soliton solutions (35C08) Fractional partial differential equations (35R11) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (4)

Energy-preserving splitting finite element method for nonlinear stochastic space-fractional wave equations with multiplicative noise ⋮ Linear implicit finite difference methods with energy conservation property for space fractional Klein-Gordon-Zakharov system ⋮ Fast structure-preserving difference algorithm for 2D nonlinear space-fractional wave models ⋮ An energy-conserving finite element method for nonlinear fourth-order wave equations

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