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Numerical solution of regularized long-wave equation. (English) Zbl 0779.65062

Authors’ summary: A combination of the splitting method and the cubic spline technique is used to solve a nonlinear regularized long wave equation. The accuracy and the stability of the proposed method are discussed. Then, two numerical examples are solved to illustrate the robustness of the algorithm. The results are in good agreement with the available results.

MSC:

65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35L70 Second-order nonlinear hyperbolic equations
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References:

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