Numerical Solution of the Steady Convection-diffusion Equation with Dominant Convection

AbstractSteady convection-diffusion equation in 2-D domain is considered. Central finite-difference approximation has been taken to obtain a large sparse nonsymmetric linear system with positive real matrix. New class of product triangular skew-symmetric iterative methods for solution of such system is presented and considered. Using this method as preconditioner for GMRES and BiCG has been made. Results of numerical experiments for two-dimensional convection-diffusion equation for different big Peclet numbers and velocity coefficients have been presented