Dirichlet series solution of equations arising in boundary layer theory

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 u...

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Bibliographic Details
Published inMathematical and computer modelling Vol. 32; no. 9; pp. 971 - 980
Main Authors Sachdev, P.L., Bujurke, N.M., Pai, N.P.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.11.2000
Elsevier Science
Subjects
Analytic continuation
Approximations and expansions
Calculus of variations and optimal control
Dirichlet Series
Euler transformation
Exact sciences and technology
Mathematical analysis
Mathematics
Padé approximants
Sciences and techniques of general use
Unconstrained optimization
Dirichlet Series
Padé approximants
Unconstrained optimization
Euler transformation
Analytic continuation
Transcendental equation
Approximation
Boundary value problem
Fluid dynamics
Numerical solution
Dirichlet series
Padé approximant
Euler scheme
Partial differential equation
Boundary layer
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ISSN0895-7177
1872-9479
DOI10.1016/S0895-7177(00)00183-7

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Summary: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.
ISSN:0895-7177
1872-9479
DOI:10.1016/S0895-7177(00)00183-7