## 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
Application of the homotopy perturbation method to the modified regularized long-wave equation
β Scribed by Talha Achouri; Khaled Omrani
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 873 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0749-159X
No coin nor oath required. For personal study only.
β¦ Synopsis
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 evaluated to determine the conservation properties of the system.
π SIMILAR VOLUMES
## Abstract The modified regularized long wave (MRLW) equation, with some initial conditions, is solved numerically by variational iteration method. This method is useful for obtaining numerical solutions with high degree of accuracy. The variational iteration solution for the MRLW equation converg
A B-spline finite element method is used to solve the regularized long wave equation numerically. This approach involves a Galerkin method with quadratic B-spline finite elements so that there is continuity of the dependent variable and its first derivative throughout the solution range. Time integr