An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform
Joint Authors
Kumar, Devendra
Singh, Jagdev
Kiliçman, Adem
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-22
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Kumar, Devendra& Singh, Jagdev& Kiliçman, Adem. 2013. An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-484796
Modern Language Association (MLA)
Kumar, Devendra…[et al.]. An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-484796
American Medical Association (AMA)
Kumar, Devendra& Singh, Jagdev& Kiliçman, Adem. An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-484796
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484796