推广的Abel积分方程的高精度算法

本文提出了求推广的Abel积分方程数值解的高精度算法,该算法节省运行时间,精度高且数值解有后验估计.数值算倒表明算法计算结果与理论分析吻合.

Efficient algorithm for generalized Abel integral equations

An efficient algorithm is proposed for solving the generalized Abel integral equations. theory and numerical examples show that the present method is powerful, saving storage capacity and has high accuracy. Moreover, a posteriori error estimate is derived.