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Dirichlet series solution of equations arising in boundary layer theory

โœ Scribed by P.L. Sachdev; N.M. Bujurke; N.P. Pai

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
655 KB
Volume
32
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

The differential equation

F"' + AFF" -I-BF12 = 0,

where A and B are arbitrary constants subject to different types of boundary conditions, is considered. This class of equations frequently occurs in boundary-layer theory. The proposed Dirichlet series method, in conjunction with an unconstrained optimization procedure, is found useful in analyzing these problems. The series so generated is analyzed using Euler transformation and Pad6 approximants.

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