A dispersion-relation-preserving algorithm for a nonlinear shallow-water wave equation

DOI10.1016/j.jcp.2009.07.030zbMath1391.76532OpenAlexW1982012507MaRDI QIDQ732948

Long Lee, Tony Wen-Hann Sheu, Pao-Hsiung Chiu

Publication date: 15 October 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.07.030

zbMATH Keywords

Helmholtz equationdispersion-relation-preservingsixth-orderimplicit midpointnonlinear shallow-water wave equation

Mathematics Subject Classification ID

Related Items (10)

An optimized dispersion-relation-preserving combined compact difference scheme to solve advection equations ⋮ A sixth-order dual preserving algorithm for the Camassa-Holm equation ⋮ Viscous and inviscid regularizations in a class of evolutionary partial differential equations ⋮ Development of a numerical phase optimized upwinding combined compact difference scheme for solving the Camassa-Holm equation with different initial solitary waves ⋮ Solitary Waves and N ‐Particle Algorithms for a Class of Euler–Poincaré Equations ⋮ An improvement of convergence of a dispersion-relation preserving method for the classical Boussinesq equation ⋮ Local discontinuous Galerkin methods for the two-dimensional Camassa-Holm equation ⋮ A new dispersion-relation preserving method for integrating the classical Boussinesq equation ⋮ On the development of a high-order compact scheme for exhibiting the switching and dissipative solution natures in the Camassa-Holm equation ⋮ Elastic collisions among peakon solutions for the Camassa-Holm equation

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