A new modified homotopy perturbation method with two free auxiliary parameters for solving MHD viscous flow due to a shrinking sheet
Makaleler > Tam Makale · 2011
Yazarlar: Behrouz RAFTARI, Ahmet YILDIRIM
Engineering Computations, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2011, cilt 28, ss 528-539
DOI: 10.1108/02644401111140993
Özet
Purpose The purpose of this paper is to introduce a new version of the homotopy perturbation method (HPM) for solving the magnetohydrodynamic viscous flow due to a shrinking sheet. Design/methodology/approach Three terms from HPM solution are used. Findings The results show that this method is very effective and simple and can be applied to other nonlinear problems. Research limitations/implications Comparison between the HPM and homotopy analysis methods for the studied problem shows a remarkable agreement and reveals that the HPM needs less work. Practical implications It is suggested that this method should be called HPM with auxiliary parameters. This paper uses two auxiliary parameters, three or more auxiliary parameters could be used for accuracy consideration. Originality/value In this paper, a two‐parameter HPM is applied which is useful for finding an approximate analytical solution of MHD viscous flow due to a shrinking sheet.