An ecient numerical method is developed for the numerical solution of non-linear wave equations typiยฎed by the third-and ยฎfth-order Kortewegยฑde Vries equations and their generalizations. The method developed uses a pseudo-spectral (Fourier transform) treatment of the space dependence together with a
A linearized implicit pseudo-spectral method for some model equations: the regularized long wave equations
โ Scribed by Djidjeli, K. ;Price, W. G. ;Twizell, E. H. ;Cao, Q.
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 511 KB
- Volume
- 19
- Category
- Article
- ISSN
- 1069-8299
- DOI
- 10.1002/cnm.635
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๐ SIMILAR VOLUMES
A B-spline finite element method is used to solve the regularized long wave equation numerically. This approach involves a Galerkin method with quadratic B-spline finite elements so that there is continuity of the dependent variable and its first derivative throughout the solution range. Time integr
## Abstract This article discusses on the solution of the regularized long wave (RLW) equation, which is introduced to describe the development of the undular bore, has been used for modeling in many branches of science and engineering. A numerical method is presented to solve the RLW equation. The