摘要
主要研究了一类带有多点边值条件的非线性三阶微分方程的求解方法.利用迭代技巧和再生核(RKM)理论相结合来求解此类问题,同时给出了一些算例来说明方法的有效性.
In this paper, we shall present an algorithm for solving a class of nonlinear third- order multi-point boundary value problems. The method is based on an iterative technique and the reproducing kernel method (RKM). Numerical results are shown to illustrate the accuracy of the present method.
作者
王欣欣
吕学琴
WANG Xin-xin;LV Xue-qin(School of Mathematics and Sciences, Harbin Normal University, Harbin 150025, China)
出处
《数学的实践与认识》
北大核心
2018年第2期204-211,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(11401145)
关键词
再生核方法
迭代方法
多点边值问题
reproducing kernel method
iterative method
multi-point boundary value problem