Numerical treatment of coupled nonlinear hyperbolic Klein-Gordon equations
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Date
2014
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Publisher
Editura Acad Romane
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Abstract
A semi-analytical solution based on a Jacobi-Gauss-Lobatto collocation (J-GL-C) method is proposed and developed for the numerical solution of the spatial variable for two nonlinear coupled Klein-Gordon (KG) partial differential equations. The general Jacobi-Gauss-Lobatto points are used as collocation nodes in this approach. The main characteristic behind the J-GL-C approach is that it reduces such problems to solve a system of ordinary differential equations (SODEs) in time. This system is solved by diagonally-implicit Runge-Kutta-Nystrom scheme. Numerical results show that the proposed algorithm is efficient, accurate, and compare favorably with the analytical solutions.
Description
Abdelkawy, Mohamed/0000-0002-9043-9644; Doha, Eid/0000-0002-7781-6871
Keywords
Nonlinear Coupled Hyperbolic Klein-Gordon Equations, Nonlinear Phenomena, Jacobi Collocation Method, Jacobi-Gauss-Lobatto Quadrature
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Citation
Doha, Eid Hassan... et al. (2014). "Numerical treatment of coupled nonlinear hyperbolic Klein-Gordon equations", Romanian Journal of Physics, Vol. 59, No. 3-4, pp. 247-264.
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Q3
Scopus Q
Q3
Source
Volume
59
Issue
3-4
Start Page
247
End Page
264