In this work, a variational iteration method, which is a well-known method for solving functional equations, has been employed to solve the general form of a wave equation which governs numerous scientific and engineering experimentations. Some special cases of wave equations are solved as examples
An analytical approach to the Fornberg–Whitham type equations by using the variational iteration method
✍ Scribed by Junfeng Lu
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 282 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
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 attractive and reliable for solving the Fornberg-Whitham type equations. Numerical examples related to two initial value problems are presented to show the efficiency of the VIM.
📜 SIMILAR VOLUMES
In this study, we propose an analytical solution to the Klein-Gordon equation in a pulsed stationary regime. The performed protocols are based on the modified variational iteration method MVIM and Boubaker polynomials expansion scheme BPES. The results are presented, and compared with some solution