第一类Fredholm积分方程分段泰勒级数展开法  

A Method of Piecewise Taylor-series to Expand the First Fredholm Integral Equations

作　　者：刘雪铃 黄静 Liu Xueling;Huang Jing(Department of Electronic and Information Engineering,Bozhou College,Bozhou 236800,China)

机构地区：[1]亳州学院电子与信息工程系,安徽亳州236800

出　　处：《洛阳师范学院学报》2022年第11期4-7,10,共5页Journal of Luoyang Normal University

基　　金：安徽省省级质量工程项目(2019mooc374)。

摘　　要：针对第一类Fredholm积分方程的数值解,提出了一种分段泰勒级数展开法.首先通过对第一类Fredholm积分方程进行多次积分与微分得到与之等价的方程,然后利用分段泰勒级数求出方程的数值解.最后利用数值仿真,验证了所得结果的有效性与可行性.An expansion method of piecewise Taylor series was proposed for the numerical solution of the first Fredholm integral equation.At first,the equivalent Fredholm integral equation was obtained by multiply integrating and differentiating the first Fredholm integral equation,and then its numerical solution was solved by piecewise Taylor-series.Finally,the effectiveness and feasibility of the results were verified by numerical simulation.

关 键 词：第一类FREDHOLM积分方程 分段泰勒级数 积分法 微分法 

分 类 号：O241.4[理学—计算数学]