This paper presents the classical approximation scheme to investigate the velocity profile associated with the Falkner–Skan boundary-layer problem. Solution of the boundary-layer equation is obtained for a model problem in which the flow field contains a substantial region of strongly reversed flow. The problem investigates the flow of a viscous liquid past a semi-infinite flat plate against an adverse pressure gradient. Optimized results for the dimensionless velocity profiles of reverse wedge flow are presented graphically for different values of wedge angle parameter $β$ taken from $0≤β≤2.5$. Weighted residual method (WRM) is used for determining the solution of nonlinear boundary-layer problem. Finally, for $β=0$ the results of WRM are compared with the results of homotopy perturbation method.

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