| 求解三维第一类Fredholm积分方程的GMRES法 |
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| 引用本文： | 闵涛,赵苗苗.求解三维第一类Fredholm积分方程的GMRES法[J].应用泛函分析学报,2012,14(3):234-238. |
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| 作者姓名： | 闵涛 赵苗苗 |
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| 作者单位： | 西安理工大学 理学院,西安,710054 |
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| 摘 要： | 利用数值求积公式，将三维第一类Fredholm积分方程进行离散，通过引入正则化方法，将离散后的积分方程转化为一离散适定问题，通过广义极小残余算法得到了其数值解．数值模拟结果表明该方法的可行有效性．
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| 关 键 词： | 正则化 Fredholm积分方程 广义极小残余算法 |
Fredholm Integral Equations for Solving the First Class of Three-dimensional GMRES Method |
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| MIN Tao
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ZHAO Miaomiao.Fredholm Integral Equations for Solving the First Class of Three-dimensional GMRES Method[J].Acta Analysis Functionalis Applicata,2012,14(3):234-238. |
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| Authors: | MIN Tao ZHAO Miaomiao |
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| Institution: | School of Sciences,Xi’an University of Technology,Xi’an 710054,China |
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| Abstract: | Using numerical integration formula, the three-dimensional Fredholm integral equation was discrete. By introducing the regularization method, the discredited integral equation was transformed into a posed problem of discrete and the numerical solution was obtained by generalized minimal residual algorithm. The simulation results show that the method is feasible and effective. |
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| Keywords: | regularization Fredholm integral equation generalized minimal residual algorithm |
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