An introduction to difference equations
An introduction to difference equations
Nonlinear partial differential equations: for scientists and engineers
Nonlinear partial differential equations: for scientists and engineers
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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.