Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6422072 | Applied Mathematics and Computation | 2011 | 10 Pages |
Abstract
The equal width equation is solved numerically by Petrov-Galerkin method using linear hat function and quadratic B-spline function as trial and test functions respectively. Product approximation has been used in this method. A linear stability analysis of the scheme is shown 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. The Maxwellian initial condition pulse and the development of an undular bore are also studied.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Thoudam Roshan,