This work deals with incompressible two-dimensional viscous flow over a semi-infinite plate according\nto the approximations resulting from Prandtl boundary layer theory. The governing nonlinear\ncoupled partial differential equations describing laminar flow are converted to a self-similar\ntype third order ordinary differential equation known as the Falkner-Skan equation. For the\npurposes of a numerical solution, the Falkner-Skan equation is converted to a system of first order\nordinary differential equations. These are numerically addressed by the conventional shooting\nand bisection methods coupled with the Runge-Kutta technique. However the accompanying\nenergy equation lends itself to a hybrid numerical finite element-boundary integral application.\nAn appropriate complementary differential equation as well as the Green second identity paves\nthe way for the integral representation of the energy equation. This is followed by a finite element-\ntype discretization of the problem domain. Based on the quality of the results obtained\nherein, a strong case is made for a hybrid numerical scheme as a useful approach for the numerical\nresolution of boundary layer flows and species transport. Thanks to the sparsity of the resulting\ncoefficient matrix, the solution profiles not only agree with those of similar problems in literature\nbut also are in consonance with the physics they represent.
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