On Spectral Homotopy Analysis Method for Solving Linear Volterra and Fredholm Integrodifferential Equations
A modification of homotopy analysis method (HAM) known as spectral homotopy analysis method (SHAM) is proposed to solve linear Volterra integrodifferential equations. Some examples are given in order to test the efficiency and the accuracy of the proposed method. The SHAM results show that the propo...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/960289 |
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| _version_ | 1850160359783006208 |
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| author | Z. Pashazadeh Atabakan A. Kılıçman A. Kazemi Nasab |
| author_facet | Z. Pashazadeh Atabakan A. Kılıçman A. Kazemi Nasab |
| author_sort | Z. Pashazadeh Atabakan |
| collection | DOAJ |
| description | A modification of homotopy analysis method (HAM) known as spectral homotopy analysis method (SHAM) is proposed to solve linear Volterra integrodifferential equations. Some examples are given in order to test the efficiency and the accuracy of the proposed method. The SHAM results show that the proposed approach is quite reasonable when compared to SHAM results and exact solutions. |
| format | Article |
| id | doaj-art-b6e2d98c1ebc453093791a97b2ff1d72 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b6e2d98c1ebc453093791a97b2ff1d722025-08-20T02:23:09ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/960289960289On Spectral Homotopy Analysis Method for Solving Linear Volterra and Fredholm Integrodifferential EquationsZ. Pashazadeh Atabakan0A. Kılıçman1A. Kazemi Nasab2Department of Mathematics, Universiti Putra Malaysia (UPM), Selangor, 43400 Serdang, MalaysiaDepartment of Mathematics, Universiti Putra Malaysia (UPM), Selangor, 43400 Serdang, MalaysiaDepartment of Mathematics, Universiti Putra Malaysia (UPM), Selangor, 43400 Serdang, MalaysiaA modification of homotopy analysis method (HAM) known as spectral homotopy analysis method (SHAM) is proposed to solve linear Volterra integrodifferential equations. Some examples are given in order to test the efficiency and the accuracy of the proposed method. The SHAM results show that the proposed approach is quite reasonable when compared to SHAM results and exact solutions.http://dx.doi.org/10.1155/2012/960289 |
| spellingShingle | Z. Pashazadeh Atabakan A. Kılıçman A. Kazemi Nasab On Spectral Homotopy Analysis Method for Solving Linear Volterra and Fredholm Integrodifferential Equations Abstract and Applied Analysis |
| title | On Spectral Homotopy Analysis Method for Solving Linear Volterra and Fredholm Integrodifferential Equations |
| title_full | On Spectral Homotopy Analysis Method for Solving Linear Volterra and Fredholm Integrodifferential Equations |
| title_fullStr | On Spectral Homotopy Analysis Method for Solving Linear Volterra and Fredholm Integrodifferential Equations |
| title_full_unstemmed | On Spectral Homotopy Analysis Method for Solving Linear Volterra and Fredholm Integrodifferential Equations |
| title_short | On Spectral Homotopy Analysis Method for Solving Linear Volterra and Fredholm Integrodifferential Equations |
| title_sort | on spectral homotopy analysis method for solving linear volterra and fredholm integrodifferential equations |
| url | http://dx.doi.org/10.1155/2012/960289 |
| work_keys_str_mv | AT zpashazadehatabakan onspectralhomotopyanalysismethodforsolvinglinearvolterraandfredholmintegrodifferentialequations AT akılıcman onspectralhomotopyanalysismethodforsolvinglinearvolterraandfredholmintegrodifferentialequations AT akazeminasab onspectralhomotopyanalysismethodforsolvinglinearvolterraandfredholmintegrodifferentialequations |