Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

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

Full text not available from this repository.

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: 02 Nov 2022 11:55
URI: https://orca.cardiff.ac.uk/id/eprint/103566

Citation Data

Cited 11 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item