NUMERICAL SOLUTIONS FOR THE NONLINEAR FORNBERG-WHITHAM EQUATION BY HE'S METHODS

被引：11

作者：

Abidi, Faycal ^{[1
]}

Omrani, Khaled ^{[2
]}

机构：

[1] Ecole Polytech Tunis, La Marsa 2078, Tunisia

[2] Inst Super Sci Appl & Technol Sousse, Sousse Ibn Khaldoun 4003, Tunisia

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2011年 / 25卷 / 32期

关键词：

Fornberg-Whitham equation; variational iteration method; homotopy-perturbation method; HOMOTOPY-PERTURBATION METHOD; VARIATIONAL ITERATION METHOD; PARTIAL-DIFFERENTIAL-EQUATION; SCHRODINGER-EQUATIONS; DIFFUSION EQUATION; WAVE; SIMULATION; BURGERS; FLUID; FLOW;

D O I：

10.1142/S0217979211059516

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, variational iteration method (VIM) and homotopy-perturbation method (HPM) are implemented for solving analytically the nonlinear Fornberg-Whitham (FW) equation. VIM is used to construct correction functionals using general Lagrange multipliers identified optimally via the variational theory HPM converts a difficult problem into simple one, which can be easily handled. Furthermore, the solutions obtained are compared with the corresponding exact solution to show the applicability accuracy and efficiency of the present methods in solving a large class of linear and nonlinear problems arising in different fields of science and engineering.

引用

页码：4721 / 4732

页数：12

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