In this article, the homotopy perturbation method (HPM) is used to implement the modified regularized long-wave (MRLW) equation with some initial conditions. The method is very efficient and convenient and can be applied to a large class of problems. In the last, three invariants of the motion are e
Application of variational iteration method and homotopy perturbation method to the modified Kawahara equation
β Scribed by Lin Jin
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 959 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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
This paper applies the variational iteration method to the regularized long wave equation. In this method, a generalized Lagrange multiplier is introduced to construct a correction functional for the discussed problem. The multiplier can be identified optimally via variational theory. Three invarian
## Abstract In this paper, we will discuss the solution of an initial value problem of parabolic type. The main objective is to propose an alternative method of solution, one not based on finite difference or finite element or spectral methods. The aim of the present paper is to investigate the app