摘要
本文利用文[3]的技巧得到了具转向点的非线性常微分方程边值问题的导数估计,再结合文[4]的方法,证明了所构造的差分格式关于小参数ε的一致收敛性.我们给出了数值例子,数值结果与理论分析完全符合.
By using the method in[3] several useful estimations of the derivatives of the solution of the boundary value problem for a nonlinear ordinary differential equation with a turning point are obtained. With the help of the technique in[4],the uniform convergence on the small parameter e for a difference scheme is proved. At the end of this paper, a numerical example is given. The numerical result coincides with theoretical analysis.
出处
《应用数学和力学》
EI
CSCD
北大核心
1990年第11期989-998,共10页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助
关键词
常微分方程
转向点问题
差分格式
nonlinear ordinary differential equation, turning point,singular per-turbation problem, difference scheme, uniform convergence
