Solitary waves of the Korteweg-de Vries-Burgers' equation

DOI10.1016/S0010-4655(99)00470-1zbMath0951.65097OpenAlexW1985245383MaRDI QIDQ1568594

S. I. Zaki

Publication date: 21 June 2000

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(99)00470-1

zbMATH Keywords

finite element methodsolitary wavesnumerical examplesBurgers equationCrank-Nicolson schemeKorteweg-de Vries equationKorteweg-de Vries-Burgers equationcubic B-splinesvon Neumann stabilityinner iterationGaussian quadrature formula

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (12)

Cosine expansion-based differential quadrature method for numerical solution of the KdV equation ⋮ Explicit traveling wave solutions to nonlinear evolution equations ⋮ Non-linear wave propagation in a weakly compressible Kelvin-Voigt liquid containing bubbly clusters ⋮ Exact solutions of Burgers equation with moving boundary ⋮ Explicit traveling wave solutions of five kinds of nonlinear evolution equations ⋮ A mixed corrected symmetric SPH (MC-SSPH) method for computational dynamic problems ⋮ The Korteweg–de Vries–Burgers equation and its approximate solution ⋮ A Petrov-Galerkin method for solving the generalized regularized long wave (GRLW) equation ⋮ An effective application of differential quadrature method based onmodified cubic B-splines to numerical solutions of the KdV equation ⋮ B-spline Galerkin methods for numerical solutions of the Burgers' equation ⋮ Solitary waves of the splitted RLW equation ⋮ Quartic B-spline Galerkin approach to the numerical solution of the KdVB equation

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