Analytical approximants for a boundary layer flow on a stretching moving surface with a power law velocity

This paper presents an efficient analytical decomposition and numerical procedure technique for solving a self-similarity boundary layer on a moving surface with power law velocity. The types of potential flows necessary for similar solutions to the boundary layer equations and the existence conditions of the Pad e' approximants [2/2] of degree 4 are determined. Furthermore, the analytical approximations and numerical solutions are presented for different velocity parameters. The results demonstrate the reliability and efficiency of the proposed algorithm.