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A Comparative Approach to the Solution of the Zabolotskaya-Khokhlov Equation by Iteration Methods
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-01-26
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ahmed, Saeed& Kalim, Muhammad. 2016. A Comparative Approach to the Solution of the Zabolotskaya-Khokhlov Equation by Iteration Methods. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1095912
Modern Language Association (MLA)
Ahmed, Saeed& Kalim, Muhammad. A Comparative Approach to the Solution of the Zabolotskaya-Khokhlov Equation by Iteration Methods. Advances in Mathematical Physics No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1095912
American Medical Association (AMA)
Ahmed, Saeed& Kalim, Muhammad. A Comparative Approach to the Solution of the Zabolotskaya-Khokhlov Equation by Iteration Methods. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1095912
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095912