New Homotopy Perturbation Method to Solve Non-linear Problems
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Authors
M. Rabbani
- Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran.
Abstract
In this article, we introduce a new homotopy perturbation method (NHPM) for solving non-linear
problems, such that it can be converted a non-linear differential equations to some simple linear
differential. We will solve linear differential equation by using analytic method that it is better
than the variational iteration method and to find parameter \(\alpha\), we use projection method, which
is easier and decrease computations in comparison with similar works. Also in some of the
references perturbation method are depend on small parameter but in our proposed method it is
not depend on small parameter, finally we will solve some example for illustrating validity and
applicability of the proposed method.
Share and Cite
ISRP Style
M. Rabbani, New Homotopy Perturbation Method to Solve Non-linear Problems, Journal of Mathematics and Computer Science, 7 (2013), no. 4, 272 - 275
AMA Style
Rabbani M., New Homotopy Perturbation Method to Solve Non-linear Problems. J Math Comput SCI-JM. (2013); 7(4):272 - 275
Chicago/Turabian Style
Rabbani, M.. "New Homotopy Perturbation Method to Solve Non-linear Problems." Journal of Mathematics and Computer Science, 7, no. 4 (2013): 272 - 275
Keywords
- Non-linear
- Differential Equations
- Homotopy
- Perturbation
- Galerkin Method.
MSC
References
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