A new dispersion-relation preserving method for integrating the classical Boussinesq equation

DOI10.1016/j.cnsns.2016.06.025zbMath1443.35130OpenAlexW2474343874MaRDI QIDQ2004997

Yanyan Li

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.06.025

zbMATH Keywords

Banach fixed point theoremclassical Boussinesq equationdispersion-relation preserving method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Waves for incompressible viscous fluids (76D33)

Related Items (12)

Some convergence results of waveform relaxation for a class of second-order quasilinear parabolic equations ⋮ Numerical solution of a generalized Falkner–Skan flow of a FENE-P fluid ⋮ A regular integral equation formalism for solving the standard Boussinesq's equations for variable water depth ⋮ Pseudo-parameter iteration method (PIM): a semi-analytic solution procedure for nonlinear problems ⋮ Multi-soliton, rogue wave and periodic wave solutions of generalized \((2+1)\) dimensional Boussinesq equation ⋮ Linear lattice Boltzmann flux solver for simulating acoustic propagation ⋮ Inelastic interaction and blowup new solutions of nonlinear and dispersive long gravity waves ⋮ An improvement of convergence of a dispersion-relation preserving method for the classical Boussinesq equation ⋮ A new functional iterative algorithm for the regularized long-wave equation using an integral equation formalism ⋮ Compact structure-preserving algorithm with high accuracy extended to the improved Boussinesq equation ⋮ Corrigendum to ``A new dispersion-relation preserving method for integrating the classical Boussinesq equation ⋮ New nonlinear theory for a piston-type wavemaker: the classical Boussinesq equations

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