高阶非线性微分方程非局部边值问题的解法  

Solving Higher Order Nonlinear Differential Equation with Nonlocal Boundary Value Problem

作　　者：周永芳 马丽君 张相梅[1] 金大永[1] 苏国忠 

机构地区：[1]河北工业大学理学院,天津

出　　处：《应用数学进展》2017年第8期1034-1038,共5页Advances in Applied Mathematics

基　　金：河北省自然科学基金(A2015202335)。

摘　　要：本文讨论高阶非线性微分方程非局部边值问题的数值方法。通过建立满足非局部边值条件的再生核空间,获得简单易行的再生核数值解法。证明近似解及其导数的收敛性。This paper discusses the numerical method for the higher order nonlinear differential equation with nonlocal boundary value problem. By constructing the reproducing kernel space which satis-fies the nonlocal boundary value conditions, the simple reproducing kernel numerical approximate method is established. Convergence of approximate solution and its derivatives is proved, respectively.

关 键 词：非局部边值问题 高阶非线性微分方程 再生核空间 

分 类 号：O1[理学—数学]