Abstract

In this paper, we present a series approximate solution method for a boundary layer problem in unbounded domain by employing a reliable combination of modified iterative decomposition method (MIDM) and diagonal padé approximants. Boundary condition at infinity, poses a major problem generally to most numerical solution techniques. Without using the pade approximation, the semi analytic solution obtained failed to satisfy the boundary conditions at infinity. The proposed scheme finds the solution without discretization or restrictive assumptions, free from round off errors and so reduces computational burden to a great extent. Comparison is made between the obtained results and other semi-analytical methods mentioned in literature. The MIDM-Pade provides a simple, lesser iteration and effective technique for the solution of boundary layer problem in unbounded domain devoid of use of special polynomial. The results obtained attest to these assertions by being in excellent agreement with series solutions of other methods in literature.