| 奇性积分方程的样条函数解法 |
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| 引用本文： | 雷敏茹.奇性积分方程的样条函数解法[J].西安科技大学学报,1993(2). |
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| 作者姓名： | 雷敏茹 |
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| 作者单位： | 西安矿业学院基础部 |
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| 摘 要： | 给出了一类奇性积分方程的一种近似解法,即用三次样条函数逼近未知及已知函数,从而把奇性积分方程的求解归结为线性代数方程组的求解。问题的关键在于求解逼近函数之系数的线性代数方程组的导出,而在推导过程中用到积分主值的概念,且所有奇性积分都是在主值意义下进行计算的。
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| 关 键 词： | 奇性积分方程 三次样条 逼近解 |
SOLVING PROCESS OF SINGULAR INTEGRAL EQUATION BY MEANS OF SPLINE FUNCTION |
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| Lei Minru.SOLVING PROCESS OF SINGULAR INTEGRAL EQUATION BY MEANS OF SPLINE FUNCTION[J].JOurnal of XI’an University of Science and Technology,1993(2). |
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| Authors: | Lei Minru |
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| Abstract: | An approximate solving process of singular integral equation given in the article is to approach the known and unknown functions with cubic splines so that the solving of singular integral equation can be changed into solving of a linear algebraic equations group, The crux is how to derive the linear algebraic equations group of coefficient of approaching function, The concept of integral principal value is used to calculate in the course of all singular integrals as well as during derivation. |
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| Keywords: | singular integral equation cubic splines approaching solution |
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