Homotopy Analysis Method a Fresh View on Benjamin-Bona-Mahony-Burgers Equation


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.


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
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


MSC


References