On a new integral transform and differential equations.
Integral transform method is widely used to solve the several differential equations with the initial values or boundary conditions which are represented by integral equations. With this purpose, the Sumudu transform was introduced as a new integral transform by Watugala to solve some ordinary diffe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
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Hindawi Publishing Corporation
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/15890/ http://psasir.upm.edu.my/id/eprint/15890/1/On%20a%20new%20integral%20transform%20and%20differential%20equations.pdf |
| _version_ | 1848842806322266112 |
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| author | Kilicman, Adem Eltayeb, Hassan |
| author_facet | Kilicman, Adem Eltayeb, Hassan |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Integral transform method is widely used to solve the several differential equations with the initial values or boundary conditions which are represented by integral equations. With this purpose, the Sumudu transform was introduced as a new integral transform by Watugala to solve some ordinary differential equations in control engineering. Later, it was
proved that Sumudu transform has very special and useful properties. In this paper we study this interesting integral transform and its efficiency in solving the linear ordinary differential equations with constant and nonconstant coefficients as well as system of differential equations. |
| first_indexed | 2025-11-15T08:04:59Z |
| format | Article |
| id | upm-15890 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:04:59Z |
| publishDate | 2010 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-158902015-09-22T08:23:09Z http://psasir.upm.edu.my/id/eprint/15890/ On a new integral transform and differential equations. Kilicman, Adem Eltayeb, Hassan Integral transform method is widely used to solve the several differential equations with the initial values or boundary conditions which are represented by integral equations. With this purpose, the Sumudu transform was introduced as a new integral transform by Watugala to solve some ordinary differential equations in control engineering. Later, it was proved that Sumudu transform has very special and useful properties. In this paper we study this interesting integral transform and its efficiency in solving the linear ordinary differential equations with constant and nonconstant coefficients as well as system of differential equations. Hindawi Publishing Corporation 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/15890/1/On%20a%20new%20integral%20transform%20and%20differential%20equations.pdf Kilicman, Adem and Eltayeb, Hassan (2010) On a new integral transform and differential equations. Mathematical Problems in Engineering, 2010 (463579). pp. 1-13. ISSN 1024-123X 10.1155/2010/463579 English |
| spellingShingle | Kilicman, Adem Eltayeb, Hassan On a new integral transform and differential equations. |
| title | On a new integral transform and differential equations. |
| title_full | On a new integral transform and differential equations. |
| title_fullStr | On a new integral transform and differential equations. |
| title_full_unstemmed | On a new integral transform and differential equations. |
| title_short | On a new integral transform and differential equations. |
| title_sort | on a new integral transform and differential equations. |
| url | http://psasir.upm.edu.my/id/eprint/15890/ http://psasir.upm.edu.my/id/eprint/15890/ http://psasir.upm.edu.my/id/eprint/15890/1/On%20a%20new%20integral%20transform%20and%20differential%20equations.pdf |