On Non‐Linear Ordinary Differential Equations of Boundary Layer Type

Summary A numerical method previously applied to linear two‐point boundary value problems of boundary layer type is extended to some non‐linear problems. Discretization of the differential equation leads to a set of non‐linear algebraic equations, which is solved by a modified Newton's method; both the mesh spacing and the boundary layer parameter are iteratively adjusted during the solution process. Several examples are discussed; one of these concerns the problem of shock wave formation in a supersonic nozzle.