摘要
研究了非线性二阶变系数微分方程的三点边值问题.首先,对非线性二阶变系数微分方程多次积分得到与之等价的Fredholm-Hammerstein积分方程;其次,利用分段泰勒级数得到Fredholm-Hammerstein积分方程的数值解;最后,通过具体算例验证此方法的可行性与有效性,并给出相应的误差估计.
This paper deals with the three-point boundary value problem for nonlinear second-order variable coefficient differential equations.Firstly,the equivalent Fredholm-Hammerstein integral equations are obtained by integrating the nonlinear second-order variable coefficient differential equations multiple times;secondly,the numerical solution of the Fredholm-Hammerstein integral equations are gotten using piecewise taylor series;finally,the feasibility and effectiveness of this method are verified through specific examples,and corresponding error estimates are presented.
作者
刘雪铃
黄静
LIU Xueling;HUANG Jing(Bozhou College,Department of Electronic and Information Engineering,Bozhou Anhui 236800)
出处
《宁夏师范学院学报》
2024年第4期26-31,共6页
Journal of Ningxia Normal University
基金
安徽省教育厅自然科学研究重点项目(2022AH052415)
安徽省教育厅自然科学项目(KJ2021A1150)。
