Mathematical Sciences Letters 

Abstract: The objective of this work is to study the Williamson fluid flow with a chemically reactive species.The governing equations of Williamson model in two dimensional flows are constructed by using scaling transformation under a Reynolds and Weissenberg numbers approximation. The analytic solution of the system of nonlinear ordinary differential equations (ODEs) is constructed in the series form by using homotopy analysis method (HAM). The features of various physical parameters have been discussed graphically on flow and concentration profiles.The result came up with the ou tcome that the Reynolds number step up the fluid motion but slo w down the concentration of the fluid. The Weissenberg number show t he distinct effects on the velocity and concentration of the Williamson fluid model.

Abstract: In this paper, we use Sumudu Decomposition Method (SDM) ,whi ch is combination of the Sumudu transform method and Adomian Decomposition Method, to obtain the approximat e solutions of nonlinear systems of ordinary differential e quations, particularly predator-prey systems. We can easily decompo se the nonlinear terms by the help of Adomian polynomials. Th is technique provides a sequence of functions which converges fast to the accurate solution of the problems. Numerical illustration s are given to show the effectiveness and applicability of this method in s olving these kind of systems.