Nazari, Mojtaba and Salah, Faisal and Abdul Aziz, Zainal and Nilashi, Merbakhsh (2012) Approximate analytic solution for the KdV and burger equations with the homotopy analysis method. Journal of Applied Mathematics . pp. 1-13. ISSN 1110-757X
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Official URL: http://dx.doi.org/10.1155/2012/878349
Abstract
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 , 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.
Item Type: | Article |
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Uncontrolled Keywords: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Divisions: | Science |
ID Code: | 46622 |
Deposited By: | Haliza Zainal |
Deposited On: | 22 Jun 2015 05:56 |
Last Modified: | 17 Sep 2017 07:01 |
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