New Analytical Approach to Two-Dimensional Viscous Flow with a Shrinking Sheet via Sumudu Transform

• Main Authors: Sushila RATHORE, Yadvendra Singh SHISODIA, Jagdev SINGH
• Format: Article
• Language: English
• Published: Walailak University 2013-10-01
• Series: Walailak Journal of Science and Technology
• Subjects: Sumudu transform; homotopy perturbation method; He's polynomials; Padé approximants; Shrinking sheet; Similarity transformations
• Online Access: http://wjst.wu.ac.th/index.php/wjst/article/view/468
• ISSN: 1686-3933; 2228-835X

In this paper, a new analytical approach based on homotopy perturbation Sumudu transform method (HPSTM) to a two-dimensional viscous flow with a shrinking sheet is presented. The series solution is obtained by HPSTM coupled with Padé approximants to handle the condition at infinity. The HPSTM is a combined form of the Sumudu transform method, homotopy perturbation method and He’s polynomials. This scheme finds the solution without any discretization or restrictive assumptions and avoids round-off errors. The numerical solutions obtained by the proposed method indicate that the approach is easy to implement and computationally very attractive. doi:10.14456/WJST.2014.39