A New Homotopy Perturbation Method for Solving Two-dimensional Reaction-diffusion Brusselator System


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.


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