An efficient approach for fractional Harry Dym equation by using Sumudu transform
An efficient approach based on homotopy perturbation method by using sumudu transform is proposed to solve nonlinear fractional Harry Dym equation. This method is called homotopy perturbation sumudu transform (HPSTM). Furthermore, the same problem is solved by Adomian decomposition method (ADM). The...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30201/ http://psasir.upm.edu.my/id/eprint/30201/1/30201.pdf |
| _version_ | 1848846610180603904 |
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| author | Kumar, Devendra Singh, Jagdev Kilicman, Adem |
| author_facet | Kumar, Devendra Singh, Jagdev Kilicman, Adem |
| author_sort | Kumar, Devendra |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | An efficient approach based on homotopy perturbation method by using sumudu transform is proposed to solve nonlinear fractional Harry Dym equation. This method is called homotopy perturbation sumudu transform (HPSTM). Furthermore, the same problem is solved by Adomian decomposition method (ADM). The results obtained by the two methods are in agreement, and, hence, this technique may be considered an alternative and efficient method for finding approximate solutions of both linear and nonlinear fractional differential equations. The HPSTM is a combined form of sumudu transform, homotopy perturbation method, and He’s polynomials. The nonlinear terms can be easily handled by the use of He’s polynomials. The numerical solutions obtained by the HPSTM show that the approach is easy to implement and computationally very attractive. |
| first_indexed | 2025-11-15T09:05:27Z |
| format | Article |
| id | upm-30201 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:05:27Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-302012017-10-20T02:49:23Z http://psasir.upm.edu.my/id/eprint/30201/ An efficient approach for fractional Harry Dym equation by using Sumudu transform Kumar, Devendra Singh, Jagdev Kilicman, Adem An efficient approach based on homotopy perturbation method by using sumudu transform is proposed to solve nonlinear fractional Harry Dym equation. This method is called homotopy perturbation sumudu transform (HPSTM). Furthermore, the same problem is solved by Adomian decomposition method (ADM). The results obtained by the two methods are in agreement, and, hence, this technique may be considered an alternative and efficient method for finding approximate solutions of both linear and nonlinear fractional differential equations. The HPSTM is a combined form of sumudu transform, homotopy perturbation method, and He’s polynomials. The nonlinear terms can be easily handled by the use of He’s polynomials. The numerical solutions obtained by the HPSTM show that the approach is easy to implement and computationally very attractive. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30201/1/30201.pdf Kumar, Devendra and Singh, Jagdev and Kilicman, Adem (2013) An efficient approach for fractional Harry Dym equation by using Sumudu transform. Abstract and Applied Analysis, 2013. art. no. 608943. pp. 1-8. ISSN 1085-3375; ESSN: 1687-0409 http://www.hindawi.com/journals/aaa/2013/608943/ 10.1155/2013/608943 |
| spellingShingle | Kumar, Devendra Singh, Jagdev Kilicman, Adem An efficient approach for fractional Harry Dym equation by using Sumudu transform |
| title | An efficient approach for fractional Harry Dym equation by using Sumudu transform |
| title_full | An efficient approach for fractional Harry Dym equation by using Sumudu transform |
| title_fullStr | An efficient approach for fractional Harry Dym equation by using Sumudu transform |
| title_full_unstemmed | An efficient approach for fractional Harry Dym equation by using Sumudu transform |
| title_short | An efficient approach for fractional Harry Dym equation by using Sumudu transform |
| title_sort | efficient approach for fractional harry dym equation by using sumudu transform |
| url | http://psasir.upm.edu.my/id/eprint/30201/ http://psasir.upm.edu.my/id/eprint/30201/ http://psasir.upm.edu.my/id/eprint/30201/ http://psasir.upm.edu.my/id/eprint/30201/1/30201.pdf |