New version of Optimal Homotopy Asymptotic Method for the solution of nonlinear boundary value problems in finite and infinite intervals

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• 作者：Liaqat Ali^a ; ^b ; ^{liaqat@cecos.edu.pk" class="auth_mail" title="E-mail the corresponding author} ; Saeed Islam^a ; Taza Gul^a ; Ilyas Khan^c ; L.C.C. Dennis^d
• 关键词：Initial guess ; Auxiliary parameters ; Auxiliary functions ; Galerkin&rsquo ; s method ; Embedding parameter ; Optimal Homotopy Asymptotic Method ; New version of Optimal Homotopy Asymptotic Method
• 刊名：Alexandria Engineering Journal
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：55
• 期：3
• 页码：2811-2819
• 全文大小：564 K

文摘

In this research work a new version of Optimal Homotopy Asymptotic Method is applied to solve nonlinear boundary value problems (BVPs) in finite and infinite intervals. It comprises of initial guess, auxiliary functions (containing unknown convergence controlling parameters) and a homotopy. The said method is applied to solve nonlinear Riccati equations and nonlinear BVP of order two for thin film flow of a third grade fluid on a moving belt. It is also used to solve nonlinear BVP of order three achieved by Mostafa et al. for Hydro-magnetic boundary layer and micro-polar fluid flow over a stretching surface embedded in a non-Darcian porous medium with radiation. The obtained results are compared with the existing results of Runge-Kutta (RK-4) and Optimal Homotopy Asymptotic Method (OHAM-1). The outcomes achieved by this method are in excellent concurrence with the exact solution and hence it is proved that this method is easy and effective.