Numerical simulation for general rosenau-RLW equation: an average linearized conservative scheme
type: Item
instance of: scholarly article
title: Numerical simulation for general rosenau-RLW equation: an average linearized conservative scheme
zbMATH Open document ID: 1264.65140
DOI: 10.1155/2012/517818
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: Numerical solutions for the general Rosenau-RLW equation are considered and an energy conservative linearized finite difference scheme is proposed. Existence of the solutions for the difference scheme has been shown. Stability, convergence, and a priori error estimate of the scheme are proved using energy method. Numerical results demonstrate that the scheme is efficient and reliable.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 6173347
Wikidata QID: Q58911947
author: Xintian Pan
author: Luming Zhang
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/517818
OpenAlex ID: W2010518152
cites work: Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme
cites work: Two energy conserving numerical schemes for the sine-Gordon equation
cites work: Conservative nonlinear difference scheme for the Cahn-Hilliard equation
cites work: Conservative nonlinear difference scheme for the Cahn-Hilliard equation. II
cites work: An initial-boundary value problem of a nonlinear Klein-Gordon equation
cites work: Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator
cites work: New conservative difference schemes for a coupled nonlinear Schrödinger system
cites work: Difference schemes for solving the generalized nonlinear Schrödinger equation
cites work: Finite Difference Method for Generalized Zakharov Equations
cites work: A conservative difference scheme for the Zakharov equations
cites work: Convergence of an Energy-Preserving Scheme for the Zakharov Equations in one Space Dimension
cites work: Two conservative difference schemes for the generalized Rosenau equation
cites work: A new conservative finite difference scheme for the Rosenau equation
cites work: A finite difference scheme for generalized regularized long-wave equation
cites work: Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension
cites work: A new conservative difference scheme for the general Rosenau-RLW equation
cites work: Crank-Nicolson finite difference scheme for the Rosenau-Burgers equation
cites work: Q4000396
description: scientific article; zbMATH DE number 6173347