Homotopy analysis transform method for solving Abel’s integral equations of the first kind

In this paper, by combined homotopy analysis method and Laplace transform method, we produce a new powerful method and named homotopy analysis transform method. By using this method, we solve first kind singular integral equations of Abel type. Also, the convergence of the proposed method is proved....

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Bibliographic Details
Main Authors: Samad Noeiaghdam, Eisa Zarei, Hasan Barzegar Kelishami
Format: Article
Language:English
Published: Elsevier 2016-03-01
Series:Ain Shams Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447915000477