Accession Number:

AD0606083

Title:

A GENERALIZED METHOD FOR TREATING SINGULAR PERTURBATION PROBLEMS,

Descriptive Note:

Corporate Author:

STANFORD UNIV CALIF

Personal Author(s):

Report Date:

1964-06-01

Pagination or Media Count:

8.0

Abstract:

Some of the existing methods of treating singular perturbation problems are studied, and a generalized method for solving such problems is developed. The generalized method was applied to a restricted three-body problem and to a general second-order linear ordinary differential equation with a turning point of arbitrary order. The results of the latter are used in obtaining the asymptotic expansions of the eigenvalues and eigenfunctions of a second-order linear equation with two turning points of arbitrary order. A special case of the eigenvalue problem is the Graetz problem. It arises in finding the temperature distribution of a fluid with constant properties having a parabolic velocity profile which enters suddenly into a round tube whose wall is kept at a different constant temperature. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE