Affiliation:
1. Department of Mathematics, Science Faculty, Ege University, 35100 Bornova-˙Izmir, Turkey
Abstract
The homotopy perturbation method (HPM) is employed successfully for solving the modified Korteweg-de Vries equation. In this method, the solution is calculated in the form of a convergent series with an easily computable component. This approach does not need linearization, weak nonlinearity assumptions or perturbation theory. The results show applicability, accuracy and efficiency of the HPM in solving nonlinear differential equations. It is predicted that the HPM can be widely applied in science and engineering problems.
Subject
Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics
Cited by
54 articles.
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