Abstract
The solution of non-linear ordinary differential equations, which are connected with the boundary layer theory, is obtained by a sequence of successive approximations, using the Laplace transform. Blasius, Falkner and Skan equations, the equation of similar profiles as well as the heat convection problem of semi-infinite planes at constant temperature are considered in order to illustrate the proposed method. Extension of the obtained solutions, which have a finite radius of convergence, is possible by using the Meksyn technique.
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