New Analytical Approach to Two-Dimensional Viscous Flow with a Shrinking Sheet via Sumudu Transform
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...
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doaj-4f6e95d087b54fc69a52c83b0fdda18b2020-11-25T02:17:48ZengWalailak UniversityWalailak Journal of Science and Technology1686-39332228-835X2013-10-0111310.2004/wjst.v11i3.468355New Analytical Approach to Two-Dimensional Viscous Flow with a Shrinking Sheet via Sumudu TransformSushila RATHORE0Yadvendra Singh SHISODIA1Jagdev SINGH2Department of Physics, Jagan Nath University, Village, Rampura, Rajasthan, Jaipur 303901Department of Physics, Jagan Nath University, Village, Rampura, Rajasthan, Jaipur 303901Department of Mathematics, Jagan Nath University, Village, Rampura, Rajasthan, Jaipur 303901 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 http://wjst.wu.ac.th/index.php/wjst/article/view/468Sumudu transformhomotopy perturbation methodHe's polynomialsPadé approximantsShrinking sheetSimilarity transformations |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Sushila RATHORE Yadvendra Singh SHISODIA Jagdev SINGH |
spellingShingle |
Sushila RATHORE Yadvendra Singh SHISODIA Jagdev SINGH New Analytical Approach to Two-Dimensional Viscous Flow with a Shrinking Sheet via Sumudu Transform Walailak Journal of Science and Technology Sumudu transform homotopy perturbation method He's polynomials Padé approximants Shrinking sheet Similarity transformations |
author_facet |
Sushila RATHORE Yadvendra Singh SHISODIA Jagdev SINGH |
author_sort |
Sushila RATHORE |
title |
New Analytical Approach to Two-Dimensional Viscous Flow with a Shrinking Sheet via Sumudu Transform |
title_short |
New Analytical Approach to Two-Dimensional Viscous Flow with a Shrinking Sheet via Sumudu Transform |
title_full |
New Analytical Approach to Two-Dimensional Viscous Flow with a Shrinking Sheet via Sumudu Transform |
title_fullStr |
New Analytical Approach to Two-Dimensional Viscous Flow with a Shrinking Sheet via Sumudu Transform |
title_full_unstemmed |
New Analytical Approach to Two-Dimensional Viscous Flow with a Shrinking Sheet via Sumudu Transform |
title_sort |
new analytical approach to two-dimensional viscous flow with a shrinking sheet via sumudu transform |
publisher |
Walailak University |
series |
Walailak Journal of Science and Technology |
issn |
1686-3933 2228-835X |
publishDate |
2013-10-01 |
description |
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
|
topic |
Sumudu transform homotopy perturbation method He's polynomials Padé approximants Shrinking sheet Similarity transformations |
url |
http://wjst.wu.ac.th/index.php/wjst/article/view/468 |
work_keys_str_mv |
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