In this paper, He's variational iteration method (VIM) is applied to solve the Fornberg-Whitham type equations. The VIM provides fast converged approximate solutions to nonlinear equations without linearization, discretization, perturbation, or the Adomian polynomials. This makes the method attracti
Application of the variational iteration method to the Whitham–Broer–Kaup equations
✍ Scribed by M. Rafei; H. Daniali
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 181 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
Explicit traveling wave solutions including blow-up and periodic solutions of the Whitham-Broer-Kaup equations are obtained by the variational iteration method. Moreover, the results are compared with those obtained by the Adomian decomposition method, revealing that the variational iteration method is superior to the Adomian decomposition method.
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