An improved form of Optimal Homotopy Asymptotic Method (OHAM-2) is successfully applied to the system of nonlinear coupled differential equations forming in various phenomena of fluids. It consists of initial guess, auxiliary functions, auxiliary convergence control parameters and a homotopy. The technique is very simple and short. It converts a complex problem into simpler form which can be solved easily. Some systems of nonlinear coupled differential equations have been solved by this method and also by a numerical method (NDSolved Method). The achieved results are authenticated by comparing with numerical results and by finding the residuals.

Topics
Nonlinear equations, Algebraic topology, Auxiliary functions, Fluid mechanics
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