Traveling-wave solutions for a discrete Burgers equation with nonlinear diffusion

We construct a nonstandard finite difference (NSFD) scheme for a Burgers type partial differential equation (PDE) for which the diffusion coefficient has a linear dependence on the dependent variable. After a study of this PDE's traveling-wave solutions, we examine the corresponding properties of the NSFD construction. Our work demonstrates the dynamic consistency of the discretization.

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Year of publication:	2009
Authors:	Mickens, Ronald E.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 80.2009, 4, p. 855-859
Publisher:	Elsevier
Subject:	Burgers equation \| Finite difference \| Nonstandard finite difference schemes \| Dynamic consistency

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

Persistent link: https://www.econbiz.de/10010870582