Approximate Analytic Solution for the KdV and Burger Equations with the Homotopy Analysis Method
Joint Authors
Salah, Faisal
Nazari, Mojtaba
Abdul Aziz, Zainal
Nilashi, Merbakhsh
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-25
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The homotopy analysis method (HAM) is applied to obtain the approximate analytic solution of the Korteweg-de Vries (KdV) and Burgers equations.
The homotopy analysis method (HAM) is an analytic technique which provides us with a new way to obtain series solutions of such nonlinear problems.
HAM contains the auxiliary parameter ħ, which provides us with a straightforward way to adjust and control the convergence region of the series solution.
The resulted HAM solution at 8th-order and 14th-order approximation is then compared with that of the exact soliton solutions of KdV and Burgers equations, respectively, and shown to be in excellent agreement.
American Psychological Association (APA)
Nazari, Mojtaba& Salah, Faisal& Abdul Aziz, Zainal& Nilashi, Merbakhsh. 2012. Approximate Analytic Solution for the KdV and Burger Equations with the Homotopy Analysis Method. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1029037
Modern Language Association (MLA)
Nazari, Mojtaba…[et al.]. Approximate Analytic Solution for the KdV and Burger Equations with the Homotopy Analysis Method. Journal of Applied Mathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-1029037
American Medical Association (AMA)
Nazari, Mojtaba& Salah, Faisal& Abdul Aziz, Zainal& Nilashi, Merbakhsh. Approximate Analytic Solution for the KdV and Burger Equations with the Homotopy Analysis Method. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1029037
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029037