期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 162, 期 1, 页码 381-401出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2003.12.102
关键词
Klein-Gordon equations; numerical solution; finite element methods; Gauss-Legendre quadrature; Runge-Kutta method
Numerical treatment for damped nonlinear Klein-Gordon equations, based on variational method and finite element approach, is studied. A semi-discrete algorithm is proposed by using quadratic interpolation functions of continuous time and spatial dimension one. The Gauss-Legendre quadrature has been utilized for numerical integrations of nonlinear terms, and Runge-Kutta method is used for solving ordinary differential equation. Finally, three dimensional graphics of numerical solutions are used to demonstrate the numerical results. (C) 2004 Elsevier Inc. All rights reserved.
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