Numerical solution of regularized long-wave equation

DOI10.1002/cnm.1640090705zbMath0779.65062OpenAlexW1984973421MaRDI QIDQ3136771

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Publication date: 6 October 1993

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1640090705

zbMATH Keywords

algorithmstabilityrobustnessnumerical examplessplitting methodnonlinear regularized long wave equationcubic spline technique

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) 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)

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Cites Work

• Unnamed Item
• Numerical schemes for a model for nonlinear dispersive waves
• Sufficient conditions for stability of solitary-wave solutions of model equations for long waves
• Numerical study of the regularized long-wave equation. I: Numerical methods
• Numerical solutions of the regularized long-wave equation
• Solitary-wave interaction
• Cubic spline technique for solution of Burgers' equation with a semi-linear boundary condition
• Model equations for long waves in nonlinear dispersive systems