二维Fredholm方程的Taylor展开式解法  

Approximate method for solving a class of two-dimensional Fredholm integral equations

作　　者：黄勇[1] 李显方[2] 

机构地区：[1]湖南师范大学数学与计算机科学学院,长沙410081 [2]中南大学土建学院力学与传感技术研究所,长沙410083

出　　处：《数学理论与应用》2007年第1期92-95,共4页Mathematical Theory and Applications

摘　　要：本文讨论了一类二维Fredholm方程的一种近拟解,通过利用二元函数的Taylor展开式,积分方程转化成一个关于未知函数及其相应的偏导数的线性代数方程组.数值例子表明了该方法的有效性.An approximate method for solving two-dimensional integral equations is presented in this paper. Based on Taylor＇s expandsion of a function with two variables,the integral equations can be converted to a system of linear algebraic equations for the unknwon function and its derivatives. Moreover,error analysis is given,and the effectivenss of this method is illustrated by examples.

关 键 词：近似解 二维redholm方程 Taylor展开式 

分 类 号：O241.8[理学—计算数学]