Solution to the MHD flow over a non-linear stretching sheet by homotopy perturbation method
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.
boundary layer flow magnetohydrodynamics flow (MHD) nonlinear differential equations homotopy perturbation method
RAFTARI Behrouz MOHYUD-DIN Syed Tauseef YILDIRIM Ahmet
Department of Mathematics, Islamic Azad University, Kermanshah branch. P.C. 6718997551, Kermanshah, Taxila Cantt, HITEC University, Pakistan Department oj Mathematics, Ege University, Bornova 35100, Turkey
国际会议
北京
英文
342-345
2010-04-27（万方平台首次上网日期，不代表论文的发表时间）