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
DOI: 10.12677/AAM.2017.68124,
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作者:
周永芳, 马丽君, 张相梅, 金大永, 苏国忠:河北工业大学理学院,天津
关键词:
非局部边值问题;高阶非线性微分方程;再生核空间;Nonlocal Boundary Value Problems; Higher Order Nonlinear Differential Equation; Reproducing Kernel Space
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。
Abstract:
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.
参考文献
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