A New Homotopy Perturbation Method for Solving Two-dimensional Reaction-diffusion Brusselator System
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Authors
Z. Ayati
- Department of Engineering sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran
J. Biazar
- Department of Applied Mathematics, Faculty of Mathematical Science, University of Guilan, P.O. Box 41635-19141, P.C. 4193833697, Rasht, Iran.
S. Ebrahimi
- Department of Applied Mathematics, Faculty of Mathematical Science, University of Guilan, P.O. Box 41635-19141, P.C. 4193833697, Rasht, Iran.
Abstract
In this article, a New Homotopy perturbation method (NHPM) is presented to obtain an approximate
solution of a class of two-dimensional initial value problems. In this method, the first appropriate
approximate solution has been used to reach the exact solution of the equation. Some examples are
presented to validate the ability of the proposed method.
Share and Cite
ISRP Style
Z. Ayati, J. Biazar, S. Ebrahimi, A New Homotopy Perturbation Method for Solving Two-dimensional Reaction-diffusion Brusselator System, Journal of Mathematics and Computer Science, 15 (2015), no. 3, 195-203
AMA Style
Ayati Z., Biazar J., Ebrahimi S., A New Homotopy Perturbation Method for Solving Two-dimensional Reaction-diffusion Brusselator System. J Math Comput SCI-JM. (2015); 15(3):195-203
Chicago/Turabian Style
Ayati, Z., Biazar, J., Ebrahimi, S.. "A New Homotopy Perturbation Method for Solving Two-dimensional Reaction-diffusion Brusselator System." Journal of Mathematics and Computer Science, 15, no. 3 (2015): 195-203
Keywords
- New Homotopy perturbation method
- reaction-diffusion Brusselato
- system of partial differential equations.
MSC
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