Article ID Journal Published Year Pages File Type
1139894 Mathematics and Computers in Simulation 2009 5 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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