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

Ronald E. Mickens

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 80, issue 4, 855-859

Abstract: 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.

Keywords: Burgers equation; Finite difference; Nonstandard finite difference schemes; Dynamic consistency (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2009:i:4:p:855-859

DOI: 10.1016/j.matcom.2009.08.030

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