关于一类二阶边值问题的有限差分方法  

A Finite Difference Method for a Class of Second Order Boundary Value Problems

作　　者：余爱晖[1] 金怡[1] 

机构地区：[1]杭州师范大学理学院,浙江杭州310036

出　　处：《杭州师范学院学报（自然科学版）》2007年第5期351-354,共4页Journal of Hangzhou Teachers College(Natural Science)

摘　　要：讨论一类二阶边值问题,其产生于物理中的障碍、单侧和接触问题;用三点有限差分方法获得这类问题的光滑近似解,并且证明这种方法是三阶收敛的;最后用数值例子验证这个方法.In this paper we discuss a class of second order boundary value problems associated with obstacle, unilateral and contact problems in physics. We get the smooth approximations to the solution of second order boundary value problems using three point finite difference method. It is shown to be three order convergent. At last we show the present method.

关 键 词：二阶边值问题 障碍问题 有限差分法 一致网格 收敛阶 

分 类 号：O241.1[理学—计算数学]