| 推广的Abel积分方程的高精度算法 |
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| 引用本文： | 徐征顺.推广的Abel积分方程的高精度算法[J].四川大学学报(自然科学版),2014,51(6):1125-1135. |
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| 作者姓名： | 徐征顺 |
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| 作者单位： | 四川大学数学学院 |
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| 摘 要： | 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.
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| 关 键 词： | 推广的Abel积分方程 数值计算 高精度算法 误差估计 |
| 收稿时间： | 2013/11/13 0:00:00 |
Efficient algorithm for generalized Abel integral equations |
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| XU Zheng Shun.Efficient algorithm for generalized Abel integral equations[J].Journal of Sichuan University (Natural Science Edition),2014,51(6):1125-1135. |
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| Authors: | XU Zheng Shun |
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| Institution: | College of Mathematics, Sichuan University |
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| Abstract: | 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. |
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| Keywords: | Generalized Abel integral equations Numerical solution High accuracy Error estimate |
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