An initial value method is applied for investigating laminar compressible boundary layers created by the passage of a plane shock wave over an infinite flat plate. The two point boundary value problem is reduced to an initial value problem by using the theory of transformation groups and is then integrated by Runge-Kutta-Gill method. The advantages of this method over the methods employed usually are that it gives good results without initial guesses and iterative processes and it is simple and direct both in concept and in application.

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