Year: 2013
Author: Fadi Awawdeh, S. Abbasbandy
Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 2 : pp. 222–234
Abstract
This paper is concerned with the development of an efficient algorithm for the analytic solutions of nonlinear fractional differential equations. The proposed algorithm Laplace homotopy analysis method (LHAM) is a combined form of the Laplace transform method with the homotopy analysis method. The biggest advantage the LHAM has over the existing standard analytical techniques is that it overcomes the difficulty arising in calculating complicated terms. Moreover, the solution procedure is easier, more effective and straightforward. Numerical examples are examined to demonstrate the accuracy and efficiency of the proposed algorithm.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.11-m1155
Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 2 : pp. 222–234
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Homotopy analysis method Laplace transform fractional differential equations.