求解一类非局部边界条件微分方程的再生核方法  

Reproducing kernel method of solving a differential equation with nonlinear non-local boundary conditions

作　　者：杜红[1] 刘彦慧[1] 宋作忠[1] 

机构地区：[1]黑龙江科技学院数力系,哈尔滨150027

出　　处：《黑龙江科技学院学报》2009年第6期490-492,497,共4页Journal of Heilongjiang Institute of Science and Technology

摘　　要：为研究一类非线性局部边界条件的微分方程的求解问题,在再生核空间利用算子构造了一个收敛的迭代序列,得到了该方程精确解的表达式。数值结果表明,利用再生核理论求解该类方程的方法是有效的。Aimed at studying a solution to a differential equation with nonlinear non-local boundary conditions,this paper introduces the construction of convergent iterative sequences by using operators and the representation of exact solution obtained in reproducing kernel space.Numerical results show that the method by which the equations are solved by using reproducing kernel theories is effective.

关 键 词：非局部边界条件 微分方程 再生核空间 

分 类 号：O241.8[理学—计算数学]