NUMERICAL SIMULATION USING THE HOMOTOPY PERTURBATION METHOD FOR A THIN LIQUID FILM OVER AN UNSTEADY STRETCHING SHEET

M.A. Yousif, B.A. Mahmood, K.K. Ali, H.F. Ismael
2016 International Journal of Pure and Applied Mathematics  
In this article, the flow of liquid film over an unsteady elastic stretching surface is analyzed. Similarity transformations are used to transform the governing equations to a nonlinear ordinary differential equation. The differential equation reformulated to system of Voltera integral equations and solved analytically using the new technique of numerical solution called homotopy perturbation method. The results of the proposed method are compared with previously published work and the results
more » ... rk and the results are found to be in an excellent agreement. Also, discussed and presented graphically the effects of various parameters Darcy number and unsteadiness parameter.
doi:10.12732/ijpam.v107i2.1 fatcat:6enyxvvb2zctvf3rbt65t36mqe