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| 封闭曲线上的奇异积分方程的样条间接逼近解法 | |
| 引用本文： | 王小林. 封闭曲线上的奇异积分方程的样条间接逼近解法[J]. 数学物理学报(A辑), 1997, 17(3): 348-355 |
| 作者姓名： | 王小林 |
| 作者单位： | 武汉大学数学系!武汉，430072 |
| 摘 要： | 利用复插值样条函数，给出了定义于光滑封闭曲线上一般的正则型奇异积分方程的样条间接逼近解法，证明了一致收敛性．对于其中的一类奇异积分方程，还给出了近似解和误差估计． |
| 关 键 词： | 奇异积分方程 广义逆 复样条函数 间接逼近解法 |
Indirect Approximate Solution With Complex Splines for Singular Integral Equations on A Closed Contour |
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| Wang Xiaolin. Indirect Approximate Solution With Complex Splines for Singular Integral Equations on A Closed Contour[J]. Acta Mathematica Scientia, 1997, 17(3): 348-355 | |
| Authors: | Wang Xiaolin |
| Abstract: | In this paper, using the interP0lating c0rnplex cubic splines, we give a method ofindirect approximate solution for singular integral eguations of normal type defined on asmooth cl0sed c0ntour, discuss the property of uniform convergence. We also estimate theerrors for a kind of singular integral equations. |
| Keywords: | Singular integra1 equations Generalized inverse Complex splines Indirect approximate solution |
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