Compact ETDRK scheme for nonlinear dispersive wave equations
type: Item
instance of: scholarly article
title: Compact ETDRK scheme for nonlinear dispersive wave equations
zbMATH Open document ID: 1476.65234
author: Muyassar Ahmat
author: Jianxian Qiu
published in: Computational and Applied Mathematics
publication date: 2021-11-25T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 7433858
zbMATH Keywords: nonlinear dispersive wave equation
zbMATH Keywords: fourth-order compact finite-difference method
zbMATH Keywords: fourth-order ETD Runge-Kutta method
zbMATH Keywords: Cauchy integral formula
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: s40314-021-01687-0
OpenAlex ID: W3208067755
cites work: Numerical solution of the generalized, dissipative KdV-RLW-Rosenau equation with a compact method
cites work: Exponential finite-difference method applied to Korteweg--de Vries equation for small times
cites work: Efficient high-order structure-preserving methods for the generalized Rosenau-type equation with power law nonlinearity
cites work: Exponential time differencing for stiff systems
cites work: Numerical method satisfying the first two conservation laws for the Korteweg-de Vries equation
cites work: Analysis and applications of the exponential time differencing schemes and their contour integration modifications
cites work: New conservative difference schemes with fourth‐order accuracy for some model equation for nonlinear dispersive waves
cites work: Numerical modelling of linear and nonlinear diffusion equations by compact finite difference method
cites work: Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems
cites work: A high-accuracy linear conservative difference scheme for Rosenau-RLW equation
cites work: Fourth-Order Time-Stepping for Stiff PDEs
cites work: Compact finite difference schemes with spectral-like resolution
cites work: High-order compact schemes for nonlinear dispersive waves
cites work: On the convergence of a conservative numerical scheme for the usual Rosenau-RLW equation
cites work: Q3211724
cites work: Long waves on a beach
cites work: A hybrid method for stiff reaction-diffusion equations
cites work: A sixth-order compact finite difference scheme to the numerical solutions of Burgers' equation
cites work: On the accuracy and efficiency of point-value multiresolution algorithms for solving scalar wave and Euler equations
cites work: Q4072022
cites work: Spectral Methods in MATLAB
cites work: A three-level linear implicit conservative scheme for the Rosenau-KdV-RLW equation
cites work: Higher-order compact finite difference method for systems of reaction-diffusion equations
cites work: A conservative fourth-order stable finite difference scheme for the generalized Rosenau-KdV equation in both 1D and 2D
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: Compact structure-preserving approach to solitary wave in shallow water modeled by the Rosenau-RLW equation
cites work: Comparative Study of Three High Order Schemes for LES of Temporally Evolving Mixing Layers
cites work: Compact finite difference method for integro-differential equations
DOI: 10.1007/S40314-021-01687-0
description: scientific article; zbMATH DE number 7433858