Year: 2012
Author: M. Matinfar, M. Saeidy, J. Vahidi
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 1 : pp. 36–45
Abstract
In this paper, we prove the convergence of homotopy analysis method (HAM). We also apply the homotopy analysis method to obtain approximate analytical solutions of systems of the second kind Volterra integral equations. The HAM solutions contain an auxiliary parameter which provides a convenient way of controlling the convergence region of series solutions. It is shown that the solutions obtained by the homotopy-perturbation method (HPM) are only special cases of the HAM solutions. Several examples are given to illustrate the efficiency and implementation of the method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.10-m1143
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 1 : pp. 36–45
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Homotopy analysis method homotopy perturbation method systems of Volterra integral equations.
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