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Numerical solution of nonlinear fredholm integro-differential equations using spectral homotopy analysis method

Atabakan, Z. Pashazadeh and Nasab, A. Kazemi and Kilicman, Adem and Eshkuvatov, Zainidin K. (2013) Numerical solution of nonlinear fredholm integro-differential equations using spectral homotopy analysis method. Mathematical Problems in Engineering, 2013 . art. no. 674364. pp. 1-9. ISSN 1024-123X

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Official URL: http://dx.doi.org/10.1155/2013/674364

Abstract

Spectral homotopy analysis method (SHAM) as a modification of homotopy analysis method (HAM) is applied to obtain solution of high-order nonlinear Fredholm integro-differential problems. The existence and uniqueness of the solution and convergence of the proposed method are proved. Some examples are given to approve the efficiency and the accuracy of the proposed method. The SHAM results show that the proposed approach is quite reasonable when compared to homotopy analysis method, Lagrange interpolation solutions, and exact solutions.

Item Type:Article
Keyword:Exact solution; Existence and uniqueness; Fredholm integro-differential equations; High-order; Homotopy analysis methods; Lagrange interpolations; Numerical solution; Spectral homotopy analysis methods.
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:Hindawi Publishing Corporation
DOI Number:10.1155/2013/674364
ID Code:30127
Deposited By: Umikalthom Abdullah
Deposited On:02 Jul 2014 08:47
Last Modified:12 Feb 2016 16:39

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