A Galerkin finite element method for numerical solutions of the modified regularized long wave equation (Q1724129)
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scientific article; zbMATH DE number 7022395
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Galerkin finite element method for numerical solutions of the modified regularized long wave equation |
scientific article; zbMATH DE number 7022395 |
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A Galerkin finite element method for numerical solutions of the modified regularized long wave equation (English)
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14 February 2019
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Summary: A Galerkin method for a modified regularized long wave equation is studied using finite elements in space, the Crank-Nicolson scheme, and the Runge-Kutta scheme in time. In addition, an extrapolation technique is used to transform a nonlinear system into a linear system in order to improve the time accuracy of this method. A Fourier stability analysis for the method is shown to be marginally stable. Three invariants of motion are investigated. Numerical experiments are presented to check the theoretical study of this method.
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