| 具有退化核的Fredholm积分方程的sinc配置解法 |
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| 引用本文： | 王世英,邢慧.具有退化核的Fredholm积分方程的sinc配置解法[J].黑龙江工程学院学报,2014(2):77-80. |
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| 作者姓名： | 王世英 邢慧 |
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| 作者单位： | [1]黑龙江工程学院数学系,黑龙江哈尔滨150050 [2]哈尔滨广厦学院基础部,黑龙江哈尔滨150025 |
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| 基金项目： | 黑龙江省教育厅科研基金资助项目（12531554） |
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| 摘 要： | Fredholm积分方程广泛出现于应用数学、物理、工程等领域。使用sinc配置方法得到具有退化核的第二类Fredholm积分方程的数值解,该方法把Fredholm积分方程的计算变换为线性方程组,分析该方法的收敛性,数值试验结果表明该方法非常有效。
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| 关 键 词： | Fredholm积分方程 配置方法 sinc函数 |
Sinc-collocation method for Fredholm integral equations with degenerate kernel |
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| WANG Shi-ying,XING Hui.Sinc-collocation method for Fredholm integral equations with degenerate kernel[J].Journal of Heilongjiang Institute of Technology,2014(2):77-80. |
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| Authors: | WANG Shi-ying XING Hui |
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| Affiliation: | 1. Dept. of Mathematics, Heilongjiang Institute of Technology, Harbin 150050, China; 2. Dept. of Basic Subjects of Harbin Guangsha College, Harbin 150025, China) |
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| Abstract: | Fredholm integral equations extensively appeare in applied mathematics, physics and engineering. Numerical solution of Fredholm integral Equations with degenerate kernel based on Sinc-collocation Method is considered here. The method is used to reduce the computation of Fredholm integral Equations to the systems of algebraic equations. Also, convergence of the method is given. Some numerical results show that the method is very effective. |
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| Keywords: | Fredholm integral equation collocation method sin c function |
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