| 具有积分边界条件的常微分方程边值问题的数值解 |
| |
| 引用本文： | 廉海荣,王玉鹏,赵琳琳,褚宝增.具有积分边界条件的常微分方程边值问题的数值解[J].数学的实践与认识,2012,42(20). |
| |
| 作者姓名： | 廉海荣 王玉鹏 赵琳琳 褚宝增 |
| |
| 作者单位： | 中国地质大学(北京)数理学院,北京,100083 |
| |
| 基金项目： | 中央高校基本科研业务费专项资金，国家自然科学基金 |
| |
| 摘 要： | 讨论了一类具有积分边界条件的二阶常微分方程非局部边值问题的数值解.对非局部积分边界条件采用了离散的多点边值问题进行逼近,通过常系数情况下解的局部性质,建立了这类边值问题的指数型差分格式,并且给出了格式的误差分析,证明了格式是一致收敛的.
|
| 关 键 词： | 非局部边值问题 积分边界 指数型差分格式 |
Numerical Solution of the Singularly Perturbed Problem with Integral Boundary Condition |
| |
| LIAN Hai-rong
,
WANG Yu-peng
,
ZHAO Lin-lin
,
CHU Bao-zeng.Numerical Solution of the Singularly Perturbed Problem with Integral Boundary Condition[J].Mathematics in Practice and Theory,2012,42(20). |
| |
| Authors: | LIAN Hai-rong WANG Yu-peng ZHAO Lin-lin CHU Bao-zeng |
| |
| Abstract: | This paper discusses the numerical solution of second order differential equation with integral boundary conditions.The integral boundary conditions are proved by multipoint boundary value problem.By discussing the local properties of the solution to the corresponding problem with constant coefficient,we present a exponential fitted finite difference scheme.The error estimate is calculated,which shows that this method is uniformly convergent. |
| |
| Keywords: | singular perturbation integral boundary condition exponentially fitted difference scheme |
| 本文献已被 万方数据 等数据库收录！ |
|
