文章基本信息

标题：A Comparative Approach to the Solution of the Zabolotskaya-Khokhlov Equation by Iteration Methods
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作者：Saeed Ahmed ; Muhammad Kalim
期刊名称：Advances in Mathematical Physics
印刷版ISSN：1687-9120
电子版ISSN：1687-9139
出版年度：2016
卷号：2016
DOI：10.1155/2016/7909632
出版社：Hindawi Publishing Corporation
摘要：We employed different iteration methods like Homotopy Analysis Method (HAM), Adomian Decomposition Method (ADM), and Variational Iteration Method (VIM) to find the approximate solution to the Zabolotskaya-Khokhlov (ZK) equation. Iteration methods are used to solve linear and nonlinear PDEs whose classical methods are either very complex or too limited to apply. A comparison study has been made to see which of these methods converges to the approximate solution rapidly. The result revealed that, amongst these methods, ADM is more effective and simpler tool in its nature which does not require any transformation or linearization.