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Approximate Analytical Solution for the Forced Korteweg-de Vries Equation
Joint Authors
Salah, Faisal
Abdul Aziz, Zainal
David, Vincent Daniel
Nazari, Mojtaba
Barati, Vahid
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The forced Korteweg-de Vries (fKdV) equations are solved using Homotopy Analysis Method (HAM).
HAM is an approximate analytical technique which provides a novel way to obtain series solutions of such nonlinear problems.
It has the auxiliary parameter ℏ, where it is easy to adjust and control the convergence region of the series solution.
Some examples of forcing terms are employed to analyse the behaviours of the HAM solutions for the different fKdV equations.
Finally, this form of HAM solution is compared with the analytical soliton-type solution of fKdV equation as derived by Zhao and Guo.
The results is found to be in good agreement with Zhao and Guo.
American Psychological Association (APA)
David, Vincent Daniel& Nazari, Mojtaba& Barati, Vahid& Salah, Faisal& Abdul Aziz, Zainal. 2013. Approximate Analytical Solution for the Forced Korteweg-de Vries Equation. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-498797
Modern Language Association (MLA)
David, Vincent Daniel…[et al.]. Approximate Analytical Solution for the Forced Korteweg-de Vries Equation. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-498797
American Medical Association (AMA)
David, Vincent Daniel& Nazari, Mojtaba& Barati, Vahid& Salah, Faisal& Abdul Aziz, Zainal. Approximate Analytical Solution for the Forced Korteweg-de Vries Equation. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-498797
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498797