文章基本信息

标题：Modified Variational Iteration Method for Sine-Gordon Equation
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作者：Umer Saeed
期刊名称：TEM Journal
印刷版ISSN：2217-8309
电子版ISSN：2217-8333
出版年度：2016
卷号：5
期号：3
页码：305-312
DOI：10.18421/TEM53-09
语种：English
出版社：UIKTEN
摘要：In this paper,we introduce a modified variational iteration method for solving nonlinear differential equations. The main advantage of this modification is that it gives stable and relatively accurate results while increasing the domain of unknown function in differential equation,where variational iteration method becomes unstable. The proposed method is based on Chebyshev polynomial approximations in the correction functional of variational iteration method. To show the advantages of the proposed method,we use the sine-Gordon equation as a test problem.
关键词：Variational iteration method;Chebyshev polynomial;Sine-Gordon equation.