摘要
本文讨论了奇异摄动二阶自伴常微分方程边值问题,采用有限元方法构造了一类变分差分格式,在对系数的光滑性假定很弱的情况下证明了一致收敛性。这类格式包括了[1],[3],[4]和[5]中讨论的格式。
In this paper, a singularly perturbed boundary value problem for second order self-adjoint ordinary differential equation is discussed. A class of variational difference schemes is constructed by the finite element method. Uniform convergence about small parameter is proved under a weaker smooth condition with respect to the coefficients of the equation. The schemes studied in refs. [1,3,4] and [5] belong to the class.
出处
《应用数学和力学》
EI
CSCD
北大核心
1989年第4期339-345,共7页
Applied Mathematics and Mechanics
