Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m
In this paper, modified homotopy perturbation method (MHPM) is applied to solve the general Fredholm-Volterra integro-differential equations (FV-IDEs) of order with initial conditions. Selective functions and unknown parameters allowed us to obtain two step iterations. It is found that MHPM is a se...
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| Format: | Article |
| Language: | English |
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Penerbit UTM Press
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/61226/ http://psasir.upm.edu.my/id/eprint/61226/1/Convergence%20of%20modified%20homotopy%20perturbation%20method%20for%20Fredholm-Volterra%20integro-differential%20equation%20of%20order%20m.pdf |
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| author | Eshkuvatov, Zainidin K. Zulkarnain, Fatimah Samihah Muminov, Zahriddin Nik Long, Nik Mohd Asri |
| author_facet | Eshkuvatov, Zainidin K. Zulkarnain, Fatimah Samihah Muminov, Zahriddin Nik Long, Nik Mohd Asri |
| author_sort | Eshkuvatov, Zainidin K. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, modified homotopy perturbation method (MHPM) is applied to solve the general Fredholm-Volterra integro-differential equations (FV-IDEs) of order with initial conditions. Selective functions and unknown parameters allowed us to obtain two step iterations. It is found that MHPM is a semi-analytical method for FV-IDEs and could avoid complex computations. Numerical examples are given to show the efficiency and reliability of the method. Proof of the convergence of the proposed method is also given. |
| first_indexed | 2025-11-15T11:08:44Z |
| format | Article |
| id | upm-61226 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:08:44Z |
| publishDate | 2017 |
| publisher | Penerbit UTM Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-612262018-07-23T08:29:42Z http://psasir.upm.edu.my/id/eprint/61226/ Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m Eshkuvatov, Zainidin K. Zulkarnain, Fatimah Samihah Muminov, Zahriddin Nik Long, Nik Mohd Asri In this paper, modified homotopy perturbation method (MHPM) is applied to solve the general Fredholm-Volterra integro-differential equations (FV-IDEs) of order with initial conditions. Selective functions and unknown parameters allowed us to obtain two step iterations. It is found that MHPM is a semi-analytical method for FV-IDEs and could avoid complex computations. Numerical examples are given to show the efficiency and reliability of the method. Proof of the convergence of the proposed method is also given. Penerbit UTM Press 2017 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/61226/1/Convergence%20of%20modified%20homotopy%20perturbation%20method%20for%20Fredholm-Volterra%20integro-differential%20equation%20of%20order%20m.pdf Eshkuvatov, Zainidin K. and Zulkarnain, Fatimah Samihah and Muminov, Zahriddin and Nik Long, Nik Mohd Asri (2017) Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m. Malaysian Journal of Fundamental and Applied Sciences. 340 - 345. ISSN 2289-5981; ESSN: 2289-599X https://mjfas.utm.my/index.php/mjfas/article/view/894 |
| spellingShingle | Eshkuvatov, Zainidin K. Zulkarnain, Fatimah Samihah Muminov, Zahriddin Nik Long, Nik Mohd Asri Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m |
| title | Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m |
| title_full | Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m |
| title_fullStr | Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m |
| title_full_unstemmed | Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m |
| title_short | Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m |
| title_sort | convergence of modified homotopy perturbation method for fredholm-volterra integro-differential equation of order m |
| url | http://psasir.upm.edu.my/id/eprint/61226/ http://psasir.upm.edu.my/id/eprint/61226/ http://psasir.upm.edu.my/id/eprint/61226/1/Convergence%20of%20modified%20homotopy%20perturbation%20method%20for%20Fredholm-Volterra%20integro-differential%20equation%20of%20order%20m.pdf |