The dual reciprocity boundary element method (DRBEM) for two-dimensional sine-Gordon equation
type: Item
instance of: scholarly article
title: The dual reciprocity boundary element method (DRBEM) for two-dimensional sine-Gordon equation
zbMATH Open document ID: 1169.76401
author: Davoud Mirzaei
author: Mehdi Dehghan
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2009-09-01T00:00:00Z
Mathematics Subject Classification ID: 76M15
Mathematics Subject Classification ID: 76B25
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 5600855
zbMATH Keywords: sine-Gordon equation
zbMATH Keywords: soliton
zbMATH Keywords: dissipative term
zbMATH Keywords: dual reciprocity boundary element method
describes a project that uses: SERBA
MaRDI profile type: Publication
full work available at URL: j.cma.2007.08.016
OpenAlex ID: W2085048518
cites work: The two-dimensional reaction--diffusion Brusselator system: A dual-reciprocity boundary element solution.
cites work: A dual-reciprocity boundary element solution of a generalized nonlinear Schrödinger equation
cites work: Finite element approximation to two-dimensional sine-Gordon solitons
cites work: A dual reciprocity BE-based sequential function specification solution method for inverse heat conduction problems
cites work: An explicit numerical scheme for the Sine-Gordon equation in 2+1 dimensions
cites work: A modified predictor-corrector scheme for the two-dimensional sine-Gordon equation
cites work: The solution of the two-dimensional sine-Gordon equation using the method of lines
cites work: A third order numerical scheme for the two-dimensional sine-Gordon equation
cites work: Q3888653
cites work: Numerical study of \(2+1\) dimensional sine-Gordon solitons
cites work: Numerical solutions of a damped sine-Gordon equation in two space variables
cites work: Numerical solution of the sine-Gordon equation
cites work: Kadomstev-Petviashvile and two-dimensional sine-Gordon equations: reduction to Painleve transcendents
cites work: Radial basis function approximation in the dual reciprocity method
cites work: Dual reciprocity boundary element analysis of nonlinear diffusion: Temporal discretization
cites work: Dual reciprocity boundary element analysis of inverse heat conduction problems
cites work: Decay of shrinking solitons in multidimensional sine-Gordon equation
cites work: Dynamics of quasi-one-dimensional kinks in the two-dimensional sine- Gordon model
cites work: Dynamics of rotationally symmetric solutions in near-SG field model with applications to large-area Josephson junctions and ferromagnets
cites work: Pulse evolution for a two-dimensional sine-Gordon equation
cites work: Q3130238
cites work: Q3197504
cites work: Towards criteria for selecting approximation functions in the dual reciprocity method
cites work: The method of fundamental solutions with dual reciprocity for diffusion and diffusion-convection using subdomains
cites work: Q4861404
cites work: Numerical simulation of two-dimensional sine-Gordon solitons via a split cosine scheme
cites work: Dual reciprocity BEM for time-stepping approach to the transient heat conduction problem in nonlinear materials
cites work: Invariant-conserving finite difference algorithms for the nonlinear Klein-Gordon equation
cites work: The dual reciprocity boundary element formulation for nonlinear diffusion problems
cites work: Numerical solution of axisymmetric cavity flows using the boundary element method
cites work: Modeling light bullets with the two-dimensional sine-Gordon equation
cites work: Two energy conserving numerical schemes for the sine-Gordon equation
cites work: A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications
cites work: A numerical method for one‐dimensional nonlinear Sine‐Gordon equation using collocation and radial basis functions
cites work: The boundary integral equation approach for numerical solution of the one-dimensional Sine-Gordon equation
DOI: 10.1016/J.CMA.2007.08.016
description: scientific article; zbMATH DE number 5600855