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Solution to the MHD flow over a non-linear stretching sheet by homotopy perturbation method

查看全文 作  者:RAFTARI [1]Behrouz;MOHYUD-DIN Syed [2]Tauseef;YILDIRIM [3]Ahmet 高影响力作者 机构地区:[1]Department of Mathematics,Islamic Azad University,Kermanshah branch;[2]Taxila Cantt,HITEC University;[3]Department of Mathematics,Ege University高影响力机构 出  处:《Science China(Physics,Mechanics & Astronomy)》索引2011年第54卷第2期,共4页高影响力期刊 摘  要:In this study,by means of homotopy perturbation method(HPM) an approximate solution of the magnetohydrodynamic(MHD) boundary layer flow is obtained.The main feature of the HPM is that it deforms a difficult problem into a set of problems which are easier to solve.HPM produces analytical expressions for the solution to nonlinear differential equations.The obtained analytic solution is in the form of an infinite power series.In this work,the analytical solution obtained by using only two terms from HPM solution.Comparisons with the exact solution and the solution obtained by the Pade approximants and shooting method show the high accuracy,simplicity and efficiency of this method. 关 键 词:同伦摄动法 流体流动 线性拉伸 高功率微波 PADÉ逼近 解析表达式 微分方程解 摄动方法
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