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

Sushila RATHORE; Yadvendra Singh SHISODIA; Jagdev SINGH

Authors

Sushila RATHORE Department of Physics, Jagan Nath University, Village, Rampura, Rajasthan, Jaipur 303901
Yadvendra Singh SHISODIA Department of Physics, Jagan Nath University, Village, Rampura, Rajasthan, Jaipur 303901
Jagdev SINGH Department of Mathematics, Jagan Nath University, Village, Rampura, Rajasthan, Jaipur 303901

Keywords:

Sumudu transform, homotopy perturbation method, He's polynomials, Padé approximants, Shrinking sheet, Similarity transformations

Abstract

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

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Author Biographies

Sushila RATHORE, Department of Physics, Jagan Nath University, Village, Rampura, Rajasthan, Jaipur 303901

Department of Physics

Jagdev SINGH, Department of Mathematics, Jagan Nath University, Village, Rampura, Rajasthan, Jaipur 303901

Department of Mathematics,

Assistant Professor

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