A family of new fourth-order solvers for a nonlinear damped wave equation

DOI10.1016/j.cpc.2012.08.019zbMath1306.65241OpenAlexW1983144218MaRDI QIDQ743333

Dingwen Deng, Cheng-Jian Zhang

Publication date: 24 September 2014

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2012.08.019

zbMATH Keywords

algorithmconvergencenumerical exampleserror boundsine-Gordon equationRichardson extrapolationinitial boundary value problemcompact difference schemeADI methoddamped semi-linear 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) Second-order semilinear hyperbolic equations (35L71)

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