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一类具转向点椭圆型方程奇异摄动问题的数值解法
NUMERICAL SOLUTION FOR A CLASS OF SINGULARLY PERTURBED ELLIPTIC EQUATION WITH TURNING POINTS
【摘要】 本文考虑如下一类具转向点椭圆型方程奇异摄动问题的数值解法文[1]已经研究了该问题的渐近解.本文在得到渐近解余项的更好估计式后,证明了所构造的差分格式关于小参数ε的一致收敛结果.误差估计达到α阶,其中.
【Abstract】 In this paper, we consider the numerical solution for a class of singUlarly perturbed elliptic equation with turning points as follows The peper [1] has studied the aspoptotic solution of this problem. After obtaining a better result about estimation of the remainder, we prove the uniform convergence on the small parameter E for a difference scheme. The estimate error is of order or which is in (0, ).
【关键词】 数值解;
奇异摄动问题;
转向点;
差分格式;
一致收敛;
【Key words】 Numerical solution; singularly perturbed problem; turning point; differenceScheme; uniform convergence.;
【Key words】 Numerical solution; singularly perturbed problem; turning point; differenceScheme; uniform convergence.;
- 【文献出处】 系统科学与数学 ,JOURNAL OF SYSTEMS SCIENCE AND MATHEMATICAL SCIENCES , 编辑部邮箱 ,1996年04期
- 【分类号】O241.82
- 【被引频次】1
- 【下载频次】39