New Analytical Approach to Two-Dimensional Viscous Flow with a Shrinking Sheet via Sumudu Transform
Keywords:
Sumudu transform, homotopy perturbation method, He's polynomials, Padé approximants, Shrinking sheet, Similarity transformationsAbstract
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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