三次多项式样条解一类四阶边值问题  

Cubic Polynomial Spline Approach to The Solution of a System of Fourth Order Boundary-Vale Problems

作　　者：王鹏岭[1] 郭清伟[2] 

机构地区：[1]运城学院应用数学系,山西运城044000 [2]合肥工业大学数学学院,安徽合肥230009

出　　处：《数学的实践与认识》2011年第8期201-207,共7页Mathematics in Practice and Theory

摘　　要：应用三次多项式样条函数解一组四阶单侧、障碍、接触边值问题,取半结点为网格点,并增加了边界方程,应用方法解文献中的数值例子,说明了方法的高效性,数值结果也显示了方法的优越性.cubic polynomial splines are used for computing approximations to the solution of a system of fourth order boundary-value problems associated with obstacle, unilateral,and contact problems.mesh points are taken at mid knots,adding boundary equation, using the method solve the numerical example exited in other paper. It is shown the method gives efficiency, whose applicability and superiority over other splie, finite difference method.

关 键 词：多项式样条 边值问题 障碍问题 变分不等式 

分 类 号：O174.14[理学—数学]