Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9507000 | Applied Mathematics and Computation | 2005 | 21 Pages |
Abstract
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.
Keywords
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
QuanFang Wang, DaiZhan Cheng,