Fourier pseudospectral solution of the regularised long wave equation

DOI10.1016/0377-0427(91)90024-EzbMath0732.65096OpenAlexW2094430869MaRDI QIDQ808658

David M. Sloan

Publication date: 1991

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(91)90024-e

zbMATH Keywords

stabilityregularized long wave equationNumerical resultsenergy conservation conditionFourier pseudospectral solutionsemi- discrete equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (16)

A second-order Fourier pseudospectral method for the generalized regularized long wave equation ⋮ A mixed method approach to the solitary wave, undular bore and boundary-forced solutions of the regularized long wave equation ⋮ A Legendre spectral element method for the family of regularized long wave equations ⋮ Explicit finite difference methods for the EW and RLW equations ⋮ A finite difference solution of the regularized long-wave equation ⋮ Optimal error estimate of two linear and momentum‐preserving Fourier pseudo‐spectral schemes for the RLW equation ⋮ A novel outlook to the an alternative equation for modelling shallow water wave: regularised long wave (RLW) equation ⋮ A new local energy-preserving algorithm for the BBM equation ⋮ Solitary waves of the RLW equation via least squares method ⋮ A modified equation approach to selecting a nonstandard finite difference scheme applied to the regularized long wave equation ⋮ B-spline collocation algorithms for numerical solution of the RLW equation ⋮ Error propagation in the numerical integration of solitary waves. The regularized long wave equation ⋮ Solitary waves of the EW and RLW equations ⋮ A linearized implicit pseudo-spectral method for some model equations: the regularized long wave equations ⋮ B-Spline Collocation Methods For Numerical Solutions Of The Rlw Equation ⋮ Numerical behaviour of stable and unstable solitary waves

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