Paper Info
Title
Differential quadrature solution of nonlinear Klein-Gordon and sine-Gordon equations.
Abstract
Differential quadrature method (DQM) is proposed to solve the one-dimensional quadratic and cubic Klein–Gordon equations, and two-dimensional sine-Gordon equation. We apply DQM in space direction and also blockwise in time direction. Initial and derivative boundary conditions are also approximated by DQM. DQM provides one to obtain numerical results with very good accuracy using considerably small number of grid points. Numerical solutions are obtained by using Gauss–Chebyshev–Lobatto (GCL) grid points in space intervals, and GCL grid points in each equally divided time blocks.
Year
DOI
Venue
2012
10.1016/j.cpc.2012.03.010
Computer Physics Communications
Keywords
Field
DocType
Klein–Gordon equation,Sine-Gordon equation,Differential quadrature method
Nyström method,Klein–Gordon equation,Boundary value problem,Mathematical optimization,Nonlinear system,Mathematical analysis,Sine,Quadratic equation,sine-Gordon equation,Quadrature (mathematics),Mathematics
Journal
Volume
Issue
ISSN
183
8
0010-4655
Citations 
PageRank 
References 
7
0.53
11
Authors
2
Name
Order
Citations
PageRank
Bengisen Pekmen1101.30
M. Tezer-Sezgin2124.12