二阶常微分方程两点边值问题张力样条校正解  

TENSION SPLINE CORRECT SOLUTION FOR TWO_POINT BOUNDARY VALUE PROBLEM OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS

作　　者：林伟健[1] 韩国强[1] 

机构地区：[1]华南理工大学计算机工程与科学系

出　　处：《华南理工大学学报（自然科学版）》1998年第5期164-168,共5页Journal of South China University of Technology(Natural Science Edition)

摘　　要：讨论了二阶常微分方程两点边值问题的张力样条校正解，构造了一种新的校正格式．利用该格式，只需求解一个Ｎ阶代数方程组便可得到Ｏ（ｈ４）的收敛速度，大大提高了计算精度．文中还证明了校正解的导数在某些点上具有超收敛性．In this paper, the tension spline correct method for two_point second order ordinary differential equation is discussed. A kind of new tension spline correct method for this problem is constructed. With this method, we can obtain O(h 4) convergence order by solving N order algrebraic systems. This will greatly increase the accuracy of the numerical solution. The superconvergence of derivative of correct solution at some point is also found.

关 键 词：常微分方程 两点边值问题 张力样条 校正解 

分 类 号：O175.1[理学—数学]