Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1139894 | Mathematics and Computers in Simulation | 2009 | 5 Pages |
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
Authors
Ronald E. Mickens,