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求解变系数对流—扩散方程的任意差分精细积分法 被引量:1

ARBITRARY DIFFERENCE PRECISE INTEGRATION METHOD FOR SOLVING CONVECTION-DIFFUSION EQUATION WITH VARIABLE COEFFICIENTS
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摘要 提出用任意差分精细积分算法来求解变系数对流—扩散方程,它兼顾了差分法和有限元法的优点,同时还是高精度的无条件稳定的差分格式,并且能够灵活处理各种边界条件.通过具体算例验证了本文方法的正确性和精确度. 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.
出处 《北京工商大学学报(自然科学版)》 CAS 2006年第6期60-63,共4页 Journal of Beijing Technology and Business University:Natural Science Edition
关键词 任意差分精细积分法 变系数对流—扩散方程 数值稳定性 arbitrary difference precise integration method convection-diffusion equation with variable coefficients numerical stability
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