Numerical solution of damped nonlinear Klein--Gordon equations using variational method and finite element approach (Q1763286)
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scientific article; zbMATH DE number 2136179
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical solution of damped nonlinear Klein--Gordon equations using variational method and finite element approach |
scientific article; zbMATH DE number 2136179 |
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Numerical solution of damped nonlinear Klein--Gordon equations using variational method and finite element approach (English)
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22 February 2005
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This paper deals with the numerical treatment for damped nonlinear Klein-Gordon equations, based on a variational method and a finite element approach. The authors propose a semi-discrete algorithm based on quadratic interpolation functions of continuous time and spatial dimension one. Numerical results are also presented.
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finite element methods
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Gauss-Legendre quadrature
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Runge-Kutta method
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semidiscretization
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damped nonlinear Klein-Gordon equations
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variational method
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semi-discrete algorithm
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numerical results
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