摘要
对一类拟线性奇异摄动问题的数值解,提出了一种差分格式,并证明了差分方程的解是关于小参数及变量一致收敛到原问题的精确解。这种格式既能保证原解的大梯度变化的性质,又能节省计算时间,因而具有一定的理论与应用价值。
This paper deals with the numerical solution of quasilinear singular perturbation problem. A difference scheme is proposed, and the solution of difference equation can be proved to be uniformly convergent to the solution of differential equation with small parameters and variables.The scheme can keep the large gradient variation of the original solution and can also save computation time. So, it has some value in theory and application.
出处
《石油大学学报（自然科学版）》
CSCD
1990年第5期101-109,共9页
Journal of the University of Petroleum,China(Edition of Natural Science)
关键词
奇异摄动
上下解
单调迭代
拟线性
Singular perturbation
Upper and lower solution
Monotone iterative method
Uniform scheme
