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In this research, an efficient technique of computation considered as a modified decomposition method was proposed and then successfully applied for solving the nonlinear problem of the two dimensional flow of an incompressible viscous fluid between nonparallel plane walls. In fact this method gives the nonlinear term Nu and the solution of the studied problem as a power series. The proposed iterative procedure gives on the one hand a computationally efficient formulation with an accelerationdoaj:6c77bb6fe6a74ab5a9f984a647e8d8cd fatcat:bsua5qczd5fftjeem7zsuu5mjq