He's Variational Iteration Method for Solving a Partial Differential Equation Arising in Modelling of the Water Waves

被引:13
作者
Saadatmandi, Abbas [2 ]
Dehghan, Mehdi [1 ]
机构
[1] Amirkabir Univ Technol, Dept Appl Math, Fac Math & Comp Sci, Tehran, Iran
[2] Univ Kashan, Dept Math, Fac Sci, Kashan, Iran
来源
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2009年 / 64卷 / 12期
关键词
Kawahara Equation; Travelling Wave Solution; Variational Iteration Method; Closed Form Solution; APPROXIMATE SOLUTION; NUMERICAL-SOLUTION; KAWAHARA EQUATION; SOLITARY; CONVERGENCE;
D O I
10.1515/zna-2009-1202
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
The variational iteration method is applied to solve the Kawahara equation. This method produces the solutions in terms of convergent series and does not require linearization or small perturbation. Some examples are given. The comparison with the theoretical solution shows that the variational iteration method is an efficient method.
引用
收藏
页码:783 / 787
页数:5
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