第二类Fredholm积分方程的近似解法

第2类Fredholm积分方程的近似解法

摘要

本文主要考虑第2类Fredholm积分方程的近似求解，归纳出了1些常用的方法，给出了相关的数值例子，并对这些方法进行了深入的比较和总结。

关键词：第2类Fredholm积分方程;退化核;近似解；数值例子。

Approximate methods for Fredholm integral equations of the second kind

Abstract

In this paper, we consider the approximate solution of Fredholm integral equations of the second kind. Some typic methods are described, and the corresponding numerics are given. By comparing these methods carefully, some useful conclusions are reached.

Keywords : Fredholm integral equations of the second kind; degenerate kernel; approximate solution; numerics.