Nonlinear Convection-diffusion Problems Fdsd Predictor-corrector Format

In this paper , a Predictor -Corrector FDSD scheme for time-dependent nonlinear convection-dominated diffusion problem is constructed. The results for some numerical experiments proves that the PCFDSD scheme And we give its error analysis .The theory analysis shows that the PCFDSD schemes also has quasi-optimal order accuracy in L(L2) norm and has 3/2-order accuracy in time variable, is in deed an efficient finite element method for convection-dominated diffusion problems.