Spatial central finite difference with DIRK (3,3) temporal schemes for nonlinear dispersive waves

zbMath0958.65098MaRDI QIDQ1576438

Samira M. Refaat, Ali B. Shamardan, Mahmoud H. Farag

Publication date: 14 August 2000

Published in: Ricerche di Matematica (Search for Journal in Brave)

zbMATH Keywords

finite difference methodnumerical examplesmethod of linesKorteweg-de Vries equationnonlinear wave equationsdiagonally implicit Runge-Kutta schemeserror bounds comparison of methods

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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