Steady Flow of a Third Grade Fluid in a Porous Half-Space using Adomian Decomposition Method

This study investigates the steady flow of a third grade fluid in a porous half space medium. The problem is a non-linear, two-point boundary value problem on semi-infinite material. The analytical solution of the problem was obtained using Adomian Decom position Method (ADM) which is proved to be highly accurate and efficient as the series solution converges very fast. The series solution of ADM in this work is compared with the solution of other methods from literature where Shooting Method and Mod ified Generalized Laugure functions were previously used. ADM were proposed to provide simple way to improve the convergence of the series solution to certain number of terms. The findings demonstrated that the solution with ADM was highly accurate.