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ARBITRARY DIFFERENCE PRECISE INTEGRATION METHOD FOR SOLVING CONVECTION-DIFFUSION EQUATION WITH VARIABLE COEFFICIENTS

HONG Ya-li,ZHANG Xiao-dan(Department of Mathematics and Mechanics,Applied Science School,Beijing University of Science and Technology,Beijing 100083,China)  
In this study,an arbitrary difference precise integration method for studying convection-diffusion equation with variable coefficients is proposed,which not only retains the superiority of the finite difference method but also the characteristics of the finite element method.Also it is a high accuracy explicit difference scheme with unconditionally stability.Finally,numerical results agree well with those obtained by exact method.
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