The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions

DOI10.1016/j.apnum.2021.07.026zbMath1501.65037OpenAlexW3189171441MaRDI QIDQ822187

Dong Liang, Baohui Hou

Publication date: 21 September 2021

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.07.026

zbMATH Keywords

convergenceenergy conservationnonlinear wave equationsAVF methodCFD operatortime high-order

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

High-order compact difference schemes based on the local one-dimensional method for high-dimensional nonlinear wave equations ⋮ High-order compact difference methods for solving two-dimensional nonlinear wave equations ⋮ Explicit high-order compact difference method for solving nonlinear hyperbolic equations with three types of boundary conditions ⋮ A class of weighted energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon-type equations

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