Dirichlet series solution of equations arising in boundary layer theory

Sachdev, P. L. ; Bujurke, N. M. ; Pai, N. P. (2000) Dirichlet series solution of equations arising in boundary layer theory Mathematical and Computer Modelling, 32 (9). pp. 971-980. ISSN 0895-7177

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S08957...

Related URL: http://dx.doi.org/10.1016/S0895-7177(00)00183-7

Abstract

The differential equation F'''+AFF"+ BF'2=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 Padé approximants.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Dirichlet Series; Euler Transformation; Unconstrained Optimization; Analytic Continuation; Padé Approximants
ID Code:33825
Deposited On:30 Mar 2011 13:37
Last Modified:30 Mar 2011 13:37

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