Mixed Finite Element Analysis and Numerical Solitary Solution for the RLW Equation

DOI10.1137/S0036142996312999zbMath0927.65123MaRDI QIDQ4243553

Zhen-Dong Luo, Ru-xun Liu

Publication date: 19 May 1999

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

numerical examplesregularized long wave equationerror estimatesemidiscretizationmixed finite elements method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (15)

Splitting positive definite mixed element methods for pseudo-hyperbolic equations ⋮ A numerical solution of the RLW equation by Galerkin method using quartic B‐splines ⋮ Explicit finite difference methods for the EW and RLW equations ⋮ Explicit multistep mixed finite element method for RLW equation ⋮ Mixed finite element analysis for dissipative SRLW equations with damping term ⋮ On the accuracy of some explicit and implicit methods for the inviscid GRLW equation subject to initial Gaussian conditions ⋮ An adaptive moving mesh finite element solution of the regularized long wave equation ⋮ FINITE DIFFERENCE/<i>H</i>¹-GALERKIN MFE PROCEDURE FOR A FRACTIONAL WATER WAVE MODEL ⋮ A new mixed scheme based on variation of constants for Sobolev equation with nonlinear convection term ⋮ Superconvergence analysis of splitting positive definite nonconforming mixed finite element method for pseudo-hyperbolic equations ⋮ A second-order semi-implicit hybrid scheme for one-dimensional Boussinesq-type waves in rectangular channels ⋮ A modified equation approach to selecting a nonstandard finite difference scheme applied to the regularized long wave equation ⋮ \(H^1\)-Galerkin mixed finite element method for the regularized long wave equation ⋮ Solitary waves of the EW and RLW equations ⋮ B-Spline Collocation Methods For Numerical Solutions Of The Rlw Equation

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