在再生核空间中求解一类二阶非线性Neumann问题  

Solving Singular Second Order Neumann Equation with Boundary Value Conditions in the Reproducing Kernel Space

作　　者：王洋[1] 么焕民[1] 

机构地区：[1]哈尔滨师范大学

出　　处：《哈尔滨师范大学自然科学学报》2009年第6期13-16,共4页Natural Science Journal of Harbin Normal University

基　　金：黑龙江省自然科学基金(A2007-11);黑龙江省教育厅骨干教师计划项目(1151G019);哈师大博士启动基金项目(KGB200901)资助

摘　　要：运用迭代算法在再生核空间W3[0,1]中求解一类二阶非线性Neu-mann问题.给出了精确解的级数形式的精确表达式,证明了近似解un(x)一致收敛于精确解w(x).数值算例验证了方法是高精度的和有效的.In this paper,a new iteration algorithm is proposed to solve singular second order Neumann equation withboundary value conditions in the reproducing kernel space.In the mean time,the n-term approximation un（x） of the exact solution u（x） is proved to converge to the exact solution.Some numerical examples are displayed to demonstrate the accuracy of the preset method.Results obtained by the method are compared with the exact solution of each example are founded to be in good with each other.

关 键 词：Neumann方程 再生核空间 迭代序列 精确解 

分 类 号：O175.25[理学—数学]