## 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
Application of the variational iteration method to the regularized long wave equation
โ Scribed by Elcin Yusufoglu; Ahmet Bekir
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 586 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
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 invariants of the motion are evaluated to determine the conservation properties of the system.
๐ SIMILAR VOLUMES
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
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
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