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

Polyanin, Andrei D. and Zhurov, Alexei ORCID: https://orcid.org/0000-0002-5594-0740 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:	Schools > Dentistry Schools > 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:	02 Nov 2022 11:55
URI:	https://orca.cardiff.ac.uk/id/eprint/103566

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