Application of the boundary-value technique to singular perturbation problems at high Reynolds numbers (Q1819630)

The boundary-value technique, advanced by \textit{S. M. Roberts} [J. Math. Anal. Appl. 87, 489-508 (1982; Zbl 0481.65048)] for the solution of singular perturbation problems of ordinary differential equations where the small parameter multiples the highest derivative, is extended to the solution of the Navier-Stokes equation at high Reynolds numbers. Three standard flows - uniform flow past a plate, flow with a linearly adverse external velocity, and shear flow past a flat plate - have been chosen as test problems with a view to evaluating some of the features of the boundary-value technique, particularly in comparison with coefficient matching techniques as examplified by the method of matcher asymptotic expansions.