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A Petrov–Galerkin method for solving the generalized equal width (GEW) equation

✍ Scribed by Thoudam Roshan

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
737 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

The generalized equal width (GEW) equation is solved numerically by the Petrov-Galerkin method using a linear hat function as the test function and a quadratic B-spline function as the trial function. Product approximation has been used in this method. A linear stability analysis of the scheme shows it to be conditionally stable. Test problems including the single soliton and the interaction of solitons are used to validate the suggested method, which is found to be accurate and efficient. Finally, the Maxwellian initial condition pulse is studied.

📜 SIMILAR VOLUMES

A Spectral Method for the Equal Width Eq
A Spectral Method for the Equal Width Equation
✍ Bosco Garcı́a-Archilla 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 294 KB

accuracy of the spatial discretization (global errors in the range 10 Ϫ9 -10 Ϫ11 ) is maintained while allowing for large A spectral discretization of the equal width equation (EWE) is presented. The method is shown to be convergent and nonlinearly stepsizes. stable. Time-stepping is performed with