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Parametrically defined nonlinear differential equations and their solutions: Applications in fluid dynamics

Polyanin, Andrei D. and Zhurov, Alexei 2016. Parametrically defined nonlinear differential equations and their solutions: Applications in fluid dynamics. Applied Mathematics Letters 55 , pp. 72-80. 10.1016/j.aml.2015.12.002

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Abstract

The study deals with parametrically defined ordinary differential equations, practically unaddressed in the literature. It finds the general solutions for three classes of first- and second-order nonlinear ODEs of this kind. The solutions are further used to construct new exact solutions to the equations of an unsteady axisymmetric boundary layer with pressure gradient on a body of revolution of arbitrary shape. Also the paper suggests a short list of essential problems for nonlinear ODEs and PDEs defined parametrically that need to be addressed in the future.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Dentistry
Medicine
Uncontrolled Keywords: Parametrically defined differential equations; nonlinear differential equations; unsteady axisymmetric boundary layer; general solutions; exact solutions
Publisher: Elsevier
ISSN: 0893-9659
Date of Acceptance: 2 December 2015
Last Modified: 11 Oct 2019 14:57
URI: http://orca.cf.ac.uk/id/eprint/103566

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