一类积分边值问题的再生核数值算法  

The Reproducing Kernel Numerical Algorithm of a Boundary Value Problems with Integral Conditions

作　　者：张平 林迎珍 ZHANG Ping;LIN Ying-zhen(School of Applied Science and Civil Engineering, Zhuhai, Beijing Institute of Technology, Zhuhai 519088 China)

机构地区：[1]北京理工大学珠海学院数理与土木工程学院

出　　处：《数学的实践与认识》2017年第21期240-244,共5页Mathematics in Practice and Theory

摘　　要：研究了一类具有积分条件的边值问题.基于再生核理论,巧妙地构造了一个具有积分条件的再生核空间,并且给出了再生核函数表达式.应用泛函分析中的算子理论及逼近论思想,给出了方程的近似解,即再生核数值算法.通过实例验证了算法的可行性和有效性.The paper has studied a boundary value problems with integral conditions. Based on reproducing kernel theory, a reproducing kernel space with integral conditions is ingeniously established, moreover, reproducing kernel expressions is obtained. Applying the operator the- ory of functional analysis and approximation theory, the approximate solution of the equation is given, that is the reproducing kernel numerical algorithm. The feasibility and effectiveness of the algorithm is verified by examples.

关 键 词：积分条件 边值问题 再生核空间 再生核数值算法 

分 类 号：O241.8[理学—计算数学]