Finite-difference schemes for nonlinear wave equation that inherit energy conservation property (Q5946725)
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scientific article; zbMATH DE number 1659472
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite-difference schemes for nonlinear wave equation that inherit energy conservation property |
scientific article; zbMATH DE number 1659472 |
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Finite-difference schemes for nonlinear wave equation that inherit energy conservation property (English)
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14 October 2001
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The author proposes two general finite-difference conservative schemes. They are applicable to many equations in one space dimension: nonlinear Klein-Gordon, nonlinear string vibration, Shimoji-Kaway and Ebihara equations. The basic property of the procedure is a rigorous discretization of variational dervatives using summation by parts. The results are compared with previous schemes.
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finite difference method
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energy conservation
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nonlinear wave equation
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nonlinear Klein-Gordon equation
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comparison of methods
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Shimoji-Kawai equation
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nonlinear string vibration
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Ebihara equation
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