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
