第二类Abel型积分方程的高精度组合算法与后验估计

HIGH ACCURACY COMBINATION ALGORITHM AND A POSTERIORI ERROR EASTIMATION FOR SOLVING SECOND KIND ABEL INTEGRAL EQUATIONS

本文提出解第二类Abel型积分方程的高精度组合算法与后验估计,理论与算例皆表明本文方法省计算时间、省存贮,精度高且近似解有后验估计。

In this paper, a high accuracy combination algorithm and a posteriori error eastimation for solving the second kind Abel integral equations are presented. The theory and numerical example show that it is very effective to obtain a high order of accuracy and save storage capacity and computational work.