A predictor-corrector scheme for the numerical solution of the Boussinesq equation

DOI10.1007/BF02936071zbMath1045.65073OpenAlexW2046166971MaRDI QIDQ1429324

D. Massart

Publication date: 18 May 2004

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

Full work available at URL: https://doi.org/10.1007/bf02936071

zbMATH Keywords

stabilitynumerical experimentsBoussinesq equationpredictor-corrector methoderror boundsolitonKorteweg-de Vries equationfinite-difference method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Soliton equations (35Q51) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (13)

A class of quasi-variable mesh methods based on off-step discretization for the numerical solution of fourth-order quasi-linear parabolic partial differential equations ⋮ Constructions of the soliton solutions to the good Boussinesq equation ⋮ A predictor-corrector scheme for the improved Boussinesq equation ⋮ Highly accurate compact difference scheme for fourth order parabolic equation with Dirichlet and Neumann boundary conditions: application to good Boussinesq equation ⋮ A fourth order one step method for numerical solution of good Boussinesq equation ⋮ Numerical solutions of Boussinesq equation using Galerkin finite element method ⋮ A meshless based numerical technique for traveling solitary wave solution of Boussinesq equation ⋮ Solitary-wave propagation and interactions for the ‘good’ Boussinesq equation ⋮ Quintic B-spline for the numerical solution of the good Boussinesq equation ⋮ A fourth order finite difference method for the good Boussinesq equation ⋮ High accuracy implicit variable mesh methods for numerical study of special types of fourth order non-linear parabolic equations ⋮ A second order numerical scheme for the solution of the one-dimensional Boussinesq equation ⋮ A global extrapolated procedure for the Boussinesq equation

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