| 配置方法求解高振荡傅里叶核的Volterra积分方程 |
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| 引用本文： | 佟丽丽,李红艳. 配置方法求解高振荡傅里叶核的Volterra积分方程[J]. 数学理论与应用, 2010, 0(2): 57-60 |
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| 作者姓名： | 佟丽丽 李红艳 |
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| 作者单位： | 中南大学数学科学与计算技术学院,长沙410083 |
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| 摘 要： | 本文用配置方法[1],基于moment-free Filon-type方法[2]求解高震荡傅里叶核的第一类Volterra积分方程[3]～[5],数值例子显示此方法的有效性。
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| 关 键 词： | 配置方法 Momemt-free FRon-type方法 高震荡傅里叶核 Volterra积分方程 |
Numerical Solutions to a Volterra Integral Equation with a Highly Oscillatory Kernel by Collocation Method |
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| Tong Lili Li Hongyan. Numerical Solutions to a Volterra Integral Equation with a Highly Oscillatory Kernel by Collocation Method[J]. Mathematical Theory and Applications, 2010, 0(2): 57-60 |
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| Authors: | Tong Lili Li Hongyan |
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| Affiliation: | Tong Lili Li Hongyan ( School of Mathematical Sciences and Computing Technology, Central South University, Changsha, 410083 ) |
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| Abstract: | In this paper, we are interested in finding numerical solutions to a Volterra integral equation of the first kind with a highly oscillatory Fourier kernel based on moment - free Filon - type method. Numerical examples are provided to discuss the effectiveness of the proposed method. |
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| Keywords: | Collocation method Moment - free Filon - type method Oscillatory Fourier kernel Volterra integral equation |
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