The variational iteration method proposed by Ji-Huan He is a new analytical method to solve nonlinear equations. This paper applies the method to search for exact analytical solutions of linear differential equations with constant coefficients. Furthermore, based on the precise integration method, a
Application of Homotopy Perturbation Method and Variational Iteration Method to Nonlinear Oscillator Differential Equations
β Scribed by A. Barari; M. Omidvar; Abdoul R. Ghotbi; D. D. Ganji
- Publisher
- Springer Netherlands
- Year
- 2008
- Tongue
- English
- Weight
- 245 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0167-8019
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In this article, the homotopy perturbation method proposed by J.-H. He is adopted for solving linear fractional partial differential equations. The fractional derivatives are described in the Caputo sense. Comparison of the results obtained by the homotopy perturbation method with those obtained by
The aim of this paper is to apply the homotopy perturbation method (HPM) to solve the Zakharov-Kuznetsov ZK(m, n, k) equations. The two special cases, ZK(2, 2, 2) and ZK(3, 3, 3), are chosen to show the ability of the method. General formulas for the solutions of ZK(m, n, k) are established. The res