Homotopy Analysis Method a Fresh View on Benjamin-Bona-Mahony-Burgers Equation
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Authors
M. Fardi
- Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran
K. Sayevand
- Department of Mathematics, University of Malayer, Malayer, Iran
Abstract
In this paper, an analytic method, namely the homotopy analysis method (HAM) is applied to
obtain approximations to the analytic solution of special form of the generalized nonlinear Benjamin-
Bona-Mahony-Burgers equation (BBMB). This approximate solution, which is obtained as a series
of exponentials, has a reasonable residual error. The results reveal that the presented method is very
effective and convenient.
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ISRP Style
M. Fardi, K. Sayevand, Homotopy Analysis Method a Fresh View on Benjamin-Bona-Mahony-Burgers Equation, Journal of Mathematics and Computer Science, 4 (2012), no. 3, 494--501
AMA Style
Fardi M., Sayevand K., Homotopy Analysis Method a Fresh View on Benjamin-Bona-Mahony-Burgers Equation. J Math Comput SCI-JM. (2012); 4(3): 494--501
Chicago/Turabian Style
Fardi, M., Sayevand, K.. "Homotopy Analysis Method a Fresh View on Benjamin-Bona-Mahony-Burgers Equation." Journal of Mathematics and Computer Science, 4, no. 3 (2012): 494--501
Keywords
- Homotopy analysis method
- Auxiliary parameter
- Benjamin-Bona-Mahony-Burgers equations (BBMB)
- Nonlinear equation
MSC
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