A novel computing approach for third order boundary layer

This paper proposed an efficient modification of homotopy perturbation transform method (HPTM), namely modified homotopy perturbation transform method (MHPTM) for the solution of third order boundary layer equation on semi-infinite domain. The technique was based on the application of Laplace transf...

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Main Authors: Equation Yasir Khan, Zdeněk Smarda
Format: Article
Language:English
Published: Universiti Kebangsaan Malaysia 2012
Online Access:http://journalarticle.ukm.my/5587/
http://journalarticle.ukm.my/5587/
http://journalarticle.ukm.my/5587/1/20%2520Yasir%2520Khan.pdf
id ukm-5587
recordtype eprints
spelling ukm-55872016-12-14T06:38:54Z http://journalarticle.ukm.my/5587/ A novel computing approach for third order boundary layer Equation Yasir Khan, Zdeněk Smarda, This paper proposed an efficient modification of homotopy perturbation transform method (HPTM), namely modified homotopy perturbation transform method (MHPTM) for the solution of third order boundary layer equation on semi-infinite domain. The technique was based on the application of Laplace transform to boundary layers in fluid mechanics. The nonlinear terms can be easily handled by the use of He’s polynomials. The Pade´ approximants, that often show superior performance over series approximations, were effectively used in the analysis to capture the essential behavior of the boundary layer equation on infinity. We then conduct a comparative study between the MHPTM and the existing results with the help of third order boundary layer equation. The results obtained indicated that the MHPTM was effective and promising. Universiti Kebangsaan Malaysia 2012-11 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/5587/1/20%2520Yasir%2520Khan.pdf Equation Yasir Khan, and Zdeněk Smarda, (2012) A novel computing approach for third order boundary layer. Sains Malaysiana, 41 (11). pp. 1489-1493. ISSN 0126-6039 http://www.ukm.my/jsm/
repository_type Digital Repository
institution_category Local University
institution Universiti Kebangasaan Malaysia
building UKM Institutional Repository
collection Online Access
language English
description This paper proposed an efficient modification of homotopy perturbation transform method (HPTM), namely modified homotopy perturbation transform method (MHPTM) for the solution of third order boundary layer equation on semi-infinite domain. The technique was based on the application of Laplace transform to boundary layers in fluid mechanics. The nonlinear terms can be easily handled by the use of He’s polynomials. The Pade´ approximants, that often show superior performance over series approximations, were effectively used in the analysis to capture the essential behavior of the boundary layer equation on infinity. We then conduct a comparative study between the MHPTM and the existing results with the help of third order boundary layer equation. The results obtained indicated that the MHPTM was effective and promising.
format Article
author Equation Yasir Khan,
Zdeněk Smarda,
spellingShingle Equation Yasir Khan,
Zdeněk Smarda,
A novel computing approach for third order boundary layer
author_facet Equation Yasir Khan,
Zdeněk Smarda,
author_sort Equation Yasir Khan,
title A novel computing approach for third order boundary layer
title_short A novel computing approach for third order boundary layer
title_full A novel computing approach for third order boundary layer
title_fullStr A novel computing approach for third order boundary layer
title_full_unstemmed A novel computing approach for third order boundary layer
title_sort novel computing approach for third order boundary layer
publisher Universiti Kebangsaan Malaysia
publishDate 2012
url http://journalarticle.ukm.my/5587/
http://journalarticle.ukm.my/5587/
http://journalarticle.ukm.my/5587/1/20%2520Yasir%2520Khan.pdf
first_indexed 2023-09-18T19:44:34Z
last_indexed 2023-09-18T19:44:34Z
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