| 第二类Volterra积分方程的一种特殊解法 |
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| 引用本文： | 王金婵.第二类Volterra积分方程的一种特殊解法[J].德州学院学报,2012,28(4):11-13. |
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| 作者姓名： | 王金婵 |
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| 作者单位： | 德州学院数学系,山东德州,253023 |
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| 摘 要： | 研究了求解Volterra型积分方程的方法,重点介绍了基于谱方法解决Volterra型积分方程的一种新的数值解法,legendre配制法得到充分的应用,并进行了严格的误差分析,表明在核函数和原函数充分光滑时,数值误差是指数下降的.
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| 关 键 词： | legendre谱方法 Volterra积分方程 收敛性分析 |
A Special Method for the Second Kind of Volterra Integral Equations |
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| WANG Jin-chan.A Special Method for the Second Kind of Volterra Integral Equations[J].Journal of Dezhou University,2012,28(4):11-13. |
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| Authors: | WANG Jin-chan |
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| Institution: | WANG Jin-chan(Department of Mathematics,Dezhou University,Dezhou Shandong 253023,China) |
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| Abstract: | In this paper,we study the method of solving the second kind of Volterra integral equations,propose a new numerical method for solving Volterra integral equations based on spectral method,Legendre preparation method is fully applied and a rigorous error analysis is done.The results show that the numerical error is the index fell.When kernel function and the original function is sufficiently smooth |
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| Keywords: | legendre spectrum method volterra integral equation convergence analysis |
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