%0 Journal Article %T Analytical solution of the viscous flow over a stretching sheet by multi-step optimal homotopy asymptotic method %A Fiza, M. %A Ullah, H. %A Islam, S. %A Chohan, F. %J Journal of Mathematics and Computer Science %D 2020 %V 20 %N 1 %@ ISSN 2008-949X %F Fiza2020 %X In this article the governing equations of viscous flow over a stretching sheet are reduced to ordinary boundary value problem by using a similarity transformation. The new analytical approach Multi-step Optimal Homotopy Asymptotic Method (MOHAM) is formulated and used for the boundary value problem. The numerical comparison of Homotopty Perturbation Method (HPM), exact solution, DTM, and numerical results (Runge Kutta Method) revealed that the new technique is powerful method for solving boundary layer equations. Also the solution is plotted for various values of \(\beta \). %9 journal article %R 10.22436/jmcs.020.01.05 %U http://dx.doi.org/10.22436/jmcs.020.01.05 %P 43--49