Application of differential transform method on nonlinear integro-differential equations with proportional delay
In this work, we applied the differential transform method, by presenting and proving some theorems, to solve the nonlinear integro-differential equation with proportional delays. This technique provides a sequence of functions which converges to the exact solution of the problem. In order to show t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Springer
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/36509/1/Application%20of%20differential%20transform%20method%20on%20nonlinear%20integro.pdf |
| _version_ | 1825948855676436480 |
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| author | Abazari, Reza Kilicman, Adem |
| author_facet | Abazari, Reza Kilicman, Adem |
| author_sort | Abazari, Reza |
| collection | UPM |
| description | In this work, we applied the differential transform method, by presenting and proving some theorems, to solve the nonlinear integro-differential equation with proportional delays. This technique provides a sequence of functions which converges to the exact solution of the problem. In order to show the power and the robustness of the method and to illustrate the pertinent features of related theorems, some examples are presented. |
| first_indexed | 2024-03-06T08:35:32Z |
| format | Article |
| id | upm.eprints-36509 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:35:32Z |
| publishDate | 2014 |
| publisher | Springer |
| record_format | dspace |
| spelling | upm.eprints-365092015-09-01T02:38:59Z http://psasir.upm.edu.my/id/eprint/36509/ Application of differential transform method on nonlinear integro-differential equations with proportional delay Abazari, Reza Kilicman, Adem In this work, we applied the differential transform method, by presenting and proving some theorems, to solve the nonlinear integro-differential equation with proportional delays. This technique provides a sequence of functions which converges to the exact solution of the problem. In order to show the power and the robustness of the method and to illustrate the pertinent features of related theorems, some examples are presented. Springer 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36509/1/Application%20of%20differential%20transform%20method%20on%20nonlinear%20integro.pdf Abazari, Reza and Kilicman, Adem (2014) Application of differential transform method on nonlinear integro-differential equations with proportional delay. Neural Computing and Applications, 24 (2). pp. 391-397. ISSN 0941-0643; ESSN: 1433-3058 http://link.springer.com/article/10.1007%2Fs00521-012-1235-4 10.1007/s00521-012-1235-4 |
| spellingShingle | Abazari, Reza Kilicman, Adem Application of differential transform method on nonlinear integro-differential equations with proportional delay |
| title | Application of differential transform method on nonlinear integro-differential equations with proportional delay |
| title_full | Application of differential transform method on nonlinear integro-differential equations with proportional delay |
| title_fullStr | Application of differential transform method on nonlinear integro-differential equations with proportional delay |
| title_full_unstemmed | Application of differential transform method on nonlinear integro-differential equations with proportional delay |
| title_short | Application of differential transform method on nonlinear integro-differential equations with proportional delay |
| title_sort | application of differential transform method on nonlinear integro differential equations with proportional delay |
| url | http://psasir.upm.edu.my/id/eprint/36509/1/Application%20of%20differential%20transform%20method%20on%20nonlinear%20integro.pdf |
| work_keys_str_mv | AT abazarireza applicationofdifferentialtransformmethodonnonlinearintegrodifferentialequationswithproportionaldelay AT kilicmanadem applicationofdifferentialtransformmethodonnonlinearintegrodifferentialequationswithproportionaldelay |