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Approximate analytic solution for the KdV and burger equations with the homotopy analysis method

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
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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