Differential Quadrature Solution of Nonlinear Klein-Gordon and Sine-Gordon Equations
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Date
2012
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science Bv
Open Access Color
Green Open Access
No
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No
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Impulse
Top 10%
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Top 10%
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Top 10%
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. (C) 2012 Elsevier B.V. All rights reserved.
Description
Pekmen Geridonmez, Bengisen/0000-0002-3073-6284; Tezer-Sezgin, Munevver/0000-0001-5439-3477
Keywords
Klein-Gordon equation, Sine-Gordon equation, Differential quadrature method, sine-Gordon equation, KdV equations (Korteweg-de Vries equations), Soliton solutions, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Klein-Gordon equation, differential quadrature method
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
37
Source
Computer Physics Communications
Volume
183
Issue
8
Start Page
1702
End Page
1713
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CrossRef : 15
Scopus : 40
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Mendeley Readers : 11
SCOPUS™ Citations
40
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Web of Science™ Citations
38
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Page Views
3
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