Compact structure-preserving approach to solitary wave in shallow water modeled by the Rosenau-RLW equation
type: Item
instance of: scholarly article
title: Compact structure-preserving approach to solitary wave in shallow water modeled by the Rosenau-RLW equation
zbMATH Open document ID: 1428.76142
author: T. Mouktonglang
author: B. Wongsaijai
author: Nattakorn Sukantamala
author: K. Poochinapan
published in: Applied Mathematics and Computation
publication date: 2019-11-22T00:00:00Z
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 76B25
zbMATH DE Number: 7135069
zbMATH Keywords: solitary wave
zbMATH Keywords: shallow water
zbMATH Keywords: Rosenau-RLW equation
zbMATH Keywords: compact finite difference method
MaRDI profile type: Publication
full work available at URL: j.amc.2018.06.009
OpenAlex ID: W2891193955
cites work: Long waves on a beach
cites work: Exponential finite-difference method applied to Korteweg--de Vries equation for small times
cites work: An analytical numerical method for solving the Korteweg-de Vries equation
cites work: Numerical method satisfying the first two conservation laws for the Korteweg-de Vries equation
cites work: Q3211724
cites work: Q4020750
cites work: Q4816670
cites work: Finite element galerkin solutions for the rosenau equation
cites work: A new conservative finite difference scheme for the Rosenau equation
cites work: A new conservative difference scheme for the general Rosenau-RLW equation
cites work: Numerical simulation for general rosenau-RLW equation: an average linearized conservative scheme
cites work: A conservative weighted finite difference scheme for the generalized Rosenau-RLW equation
cites work: Finite difference discretization of the Rosenau-RLW equation
cites work: On the convergence of a conservative numerical scheme for the usual Rosenau-RLW equation
cites work: Q6104519
cites work: A new conservative nonlinear high-order compact finite difference scheme for the general Rosenau-RLW equation
cites work: Numerical analysis for fourth-order compact conservative difference scheme to solve the 3D Rosenau-RLW equation
cites work: A high-accuracy linear conservative difference scheme for Rosenau-RLW equation
cites work: Comparison of High-Accuracy Finite-Difference Methods for Linear Wave Propagation
cites work: Time Compact High Order Difference Methods for Wave Propagation
cites work: Convergence of Fourth Order Compact Difference Schemes for Three‐Dimensional Convection‐Diffusion Equations
cites work: Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
cites work: Efficiency of high-order accurate difference schemes for the Korteweg-de Vries equation
cites work: Q5522517
cites work: On Tsertvadze's difference scheme for the Kuramoto-Tsuzuki equation
cites work: A three-level average implicit finite difference scheme to solve equation obtained by coupling the Rosenau-KdV equation and the Rosenau-RLW equation
DOI: 10.1016/J.AMC.2018.06.009
Recommended article: Advance in compact structure‐preserving manner to the Rosenau–Kawahara model of shallow‐water wave
Recommended article: Dynamics of solitary waves of the Rosenau-RLW equation
Recommended article: The solitary wave solutions of the nonlinear perturbed shallow water wave model
Recommended article: Numerical approach of dispersive shallow water waves with Rosenau-KdV-RLW equation in \((2+1)\)-dimensions
Recommended article: Q5858984
Recommended article: Evaluation of shallow water waves modelled by the Rosenau-Kawahara equation using pseudo-compact finite difference approach
Recommended article: Solitary waves of the RLW equation via least squares method
Recommended article: Numerical computation of solitary wave solutions of the Rosenau equation
Recommended article: Soliton-shape-preserving and soliton-complex interactions for a \((1+1)\)-dimensional nonlinear dispersive-wave system in shallow water
Recommended article: One-soliton and two-soliton solutions of the third model equation for shallow water waves
description: scientific article; zbMATH DE number 7135069