A nonstandard finite difference scheme for a nonlinear PDE having diffusive shock wave solutions

Nonlinear diffusion processes can give rise to shock wave type solutions. These solutions are usually derived from the application of similarity methods since general solutions to the relevant partial differential equations are not known. We consider the Boltzmann problem and construct an exact finite difference scheme for the ordinary differential equation obtained from the use of similarity and investigate its properties.

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Year of publication:	2001
Authors:	Mickens, Ronald E.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 55.2001, 4, p. 549-555
Publisher:	Elsevier
Subject:	Nonlinear diffusion \| Finite difference schemes \| Nonlinear waves \| Shocks

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010750227