摘要
研究了一类非线性变系数Bagley-Torvik方程的积分边值问题。对非线性变系数Bagley-Torvik方程进行多次积分得到与之等价的Fredholm-Hammerstein积分方程,利用分段泰勒级数得到Fredholm-Hammerstein积分方程的数值解。通过例题验证了此方法的可行性与有效性,并给相应的误差估计。
The integral boundary value problem of nonlinear with variable coefficients is studied.The Fredholm-Hammerstein integral equation is obtained from multiple integration of Bagley-Torvik equation.A new numerical method was used to construct an approximate solution of the Fredholm-Hammerstein integral equation.The feasibility and effectiveness of this method were verified through examples,and corresponding error estimates were provided.
作者
刘雪铃
黄静
崔钰晗
LIU Xueling;HUANG Jing;CUI Yuhan(Department of Electronic and Information Engineering,Bozhou College,Bozhou 236800,China)
出处
《洛阳理工学院学报（自然科学版）》
2024年第1期82-86,96,共6页
Journal of Luoyang Institute of Science and Technology：Natural Science Edition
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基金项目(KJ2021A1150)
亳州学院大学生创新项目(2022XJXM095)
安徽省大学生创新创业项目(S202212926006)。
