Two sixth-order, \( L_\infty\) convergent, and stable compact difference schemes for the generalized Rosenau-KdV-RLW equation
type: Item
instance of: scholarly article
title: Two sixth-order, \( L_\infty\) convergent, and stable compact difference schemes for the generalized Rosenau-KdV-RLW equation
author: Xin Zhang
author: Yiran Zhang
author: Qunzhi Jin
author: Yuanfeng Jin
published in: Journal of Computational and Applied Mathematics
publication date: 2025-01-16T00:00:00Z
Mathematics Subject Classification ID: 65Mxx
Mathematics Subject Classification ID: 35Qxx
Mathematics Subject Classification ID: 76Mxx
zbMATH DE Number: 7968693
zbMATH Keywords: generalized Rosenau-KdV-RLW equation
zbMATH Keywords: compact finite difference schemes
zbMATH Keywords: conservation
zbMATH Keywords: stability
zbMATH Keywords: convergence
MaRDI profile type: Publication
cites work: On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves.
cites work: Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
cites work: On the equations of motion for mixtures of liquid and gas bubbles
cites work: Long waves on a beach
cites work: Solitons and periodic solutions for the Rosenau-KdV and Rosenau-Kawahara equations
cites work: A new conservative difference scheme for the general Rosenau-RLW equation
cites work: A three-level linear implicit conservative scheme for the Rosenau-KdV-RLW equation
cites work: A new conservative finite difference scheme for the generalized Rosenau-KdV-RLW equation
cites work: New conservative difference schemes with fourth‐order accuracy for some model equation for nonlinear dispersive waves
cites work: A new conservative fourth‐order accurate difference scheme for solving a model of nonlinear dispersive equations
cites work: High-order conservative difference scheme for a model of nonlinear dispersive equations
cites work: On the \(L^{\infty}\) convergence of a novel fourth-order compact and conservative difference scheme for the generalized Rosenau-KdV-RLW equation
cites work: High-order compact schemes for nonlinear dispersive waves
cites work: A sixth-order compact finite difference scheme to the numerical solutions of Burgers' equation
cites work: Q5054006
cites work: Compact finite difference schemes with spectral-like resolution
cites work: Convergence of an eighth-order compact difference scheme for the nonlinear Schrödinger equation
cites work: SSP IMEX Runge-Kutta WENO Scheme for Generalized Rosenau-KdV-RLW 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
cites work: Study on the dynamics of a nonlinear dispersion model in both 1D and 2D based on the fourth-order compact conservative difference scheme
cites work: The conservative and fourth-order compact finite difference schemes for regularized long wave equation
DOI: 10.1016/J.CAM.2024.116382
description: scientific article; zbMATH DE number 7968693