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Numerical Solution of Nonlinear Fredholm Integro-Differential Equations Using Spectral Homotopy Analysis Method
Joint Authors
Pashazadeh Atabakan, Z.
Eshkuvatov, Z. K.
Kazemi Nasab, A.
Kiliçman, Adem
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-15
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Pashazadeh Atabakan, Z.& Kazemi Nasab, A.& Kiliçman, Adem& Eshkuvatov, Z. K.. 2013. Numerical Solution of Nonlinear Fredholm Integro-Differential Equations Using Spectral Homotopy Analysis Method. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1032067
Modern Language Association (MLA)
Pashazadeh Atabakan, Z.…[et al.]. Numerical Solution of Nonlinear Fredholm Integro-Differential Equations Using Spectral Homotopy Analysis Method. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1032067
American Medical Association (AMA)
Pashazadeh Atabakan, Z.& Kazemi Nasab, A.& Kiliçman, Adem& Eshkuvatov, Z. K.. Numerical Solution of Nonlinear Fredholm Integro-Differential Equations Using Spectral Homotopy Analysis Method. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1032067
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1032067