Dirichlet series solution of equations arising in boundary layer theory

P. L. Sachdev; N. M. Bujurke; N. P. Pai

doi:10.1016/S0895-7177(00)00183-7

Dirichlet series solution of equations arising in boundary layer theory

P. L. Sachdev^*
, N. M. Bujurke
, N. P. Pai

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

The differential equation F''' + AFF'' + BF'² = O, 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 Pade approximants. (C) 2000 Elsevier Science Ltd.

Original language	English
Pages (from-to)	971-980
Number of pages	10
Journal	Mathematical and Computer Modelling
Volume	32
Issue number	9
DOIs	https://doi.org/10.1016/S0895-7177(00)00183-7
Publication status	Published - 11-11-2000

All Science Journal Classification (ASJC) codes

Modelling and Simulation
Computer Science Applications

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10.1016/S0895-7177(00)00183-7

Cite this

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abstract = "The differential equation F''' + AFF'' + BF'2 = O, 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 Pade approximants. (C) 2000 Elsevier Science Ltd.",

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AU - Pai, N. P.

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N2 - The differential equation F''' + AFF'' + BF'2 = O, 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 Pade approximants. (C) 2000 Elsevier Science Ltd.

AB - The differential equation F''' + AFF'' + BF'2 = O, 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 Pade approximants. (C) 2000 Elsevier Science Ltd.

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ER -

Dirichlet series solution of equations arising in boundary layer theory

Abstract

All Science Journal Classification (ASJC) codes

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