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THE FINITE DIFFERENCE STREAMLINE DIFFUSION METHODS FOR TIME-DEPENDENT CONVECTION-DIFFUSION EQUATIONS
作者姓名:孙澈  沈慧
作者单位:Sun Che Department of Mathematics,Nankai University Tiangjin 300071,PRC Shen Hui Department of Economic Information Management,Tainjin University of Finance and Economic,Tianjin 300222,PRC
基金项目:Project supported by National Natural Science Foundation of China and China State Key project for Basic Researchcs.
摘    要:In this paper, two finite difference streamline diffusion (FDSD) schemes for solving two-dimensional time-dependent convection-diffusion equations are constructed. Stability and optimal order error estimati-ions for considered schemes are derived in the norm stronger than L~2-norm.


THE FINITE DIFFERENCE STREAMLINE DIFFUSION METHODS FOR TIME-DEPENDENT CONVECTION-DIFFUSION EQUATIONS
Sun Che.THE FINITE DIFFERENCE STREAMLINE DIFFUSION METHODS FOR TIME-DEPENDENT CONVECTION-DIFFUSION EQUATIONS[J].Numerical Mathematics A Journal of Chinese Universities English Series,1998(1).
Authors:Sun Che
Institution:Sun Che Department of Mathematics,Nankai University Tiangjin 300071,PRC Shen Hui Department of Economic Information Management,Tainjin University of Finance and Economic,Tianjin 300222,PRC
Abstract:In this paper, two finite difference streamline diffusion (FDSD) schemes for solving two-dimensional time-dependent convection-diffusion equations are constructed. Stability and optimal order error estimati-ions for considered schemes are derived in the norm stronger than L~2-norm.
Keywords:Time-dependent convection-diffusion equations  streamline diffusion methods  Euler-FDSD scheme  Crank-Nicolson-FDSD scheme  
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