An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform. (22nd May 2013)

• Record Type: Journal Article
• Authors: Kumar, Devendra; Singh, Jagdev; Kılıçman, A.
• Other Names: Bayram Mustafa Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-05-22
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/608943
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : 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.