An analytical approximation to the solution of a wave equation by a variational iteration method
β Scribed by J. Biazar; H. Ghazvini
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 188 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
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 to illustrate the capability and reliability of the method. The results reveal that the method is very effective. The restrictions of the method are mentioned.
π SIMILAR VOLUMES
In this paper, the well-known He's variational iteration method (VIM) is used to construct solitary wave solutions for the generalized Zakharov equation (GZE). The chosen initial solution (trial function) can be in soliton form with some unknown parameters, which can be determined in the solution pr
The work presents a derivation of approximate analytical solutions of high-order boundary value problems using the variational iteration method. The solution procedure is simple and the obtained results are of high accuracy. Some examples are given to elucidate the effectiveness and convenience of t
The Lane-Emden equation is Poisson's equation for the gravitational potential of a self-gravitating, spherically symmetric polytropic fluid which arises in many applications of mathematical physics and constitutes a good model for many systems in various fields. In this work, this equation is invest
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