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...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/608943 |
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| author | Devendra Kumar Jagdev Singh A. Kılıçman |
| author_facet | Devendra Kumar Jagdev Singh A. Kılıçman |
| author_sort | Devendra Kumar |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-ece7ae777cb24a6b8024034627283e38 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ece7ae777cb24a6b8024034627283e382025-02-03T01:08:55ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/608943608943An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu TransformDevendra Kumar0Jagdev Singh1A. Kılıçman2Department of Mathematics, JaganNath Gupta Institute of Engineering and Technology, Jaipur, Rajasthan 302022, IndiaDepartment of Mathematics, JaganNath University, Village-Rampura, Tehsil-Chaksu, Jaipur, Rajasthan 303901, IndiaDepartment of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaAn 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.http://dx.doi.org/10.1155/2013/608943 |
| spellingShingle | Devendra Kumar Jagdev Singh A. Kılıçman An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform Abstract and Applied Analysis |
| 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://dx.doi.org/10.1155/2013/608943 |
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