Nonlinear Convection Diffusion The Equation Fdsd Method

In this paper, we consider the Finite-Difference Streamline-Diffusion (FDSD) method for a kind of time-dependent nonlinear convection- diffusion problem. We give the scheme and the error estimate. Through the theory analysis and some numerical experiments, we make out the result that FDSD method is a perfect method, that is, it has both good stability and high-order accuracy.