含Cauchy核的奇异积分方程的3次样条小波解法  

The Wavelet Method for Solving Singular Integral Equations with the Cauchy Kernel

作　　者：秦君琴[1] 何力军[1] 

机构地区：[1]宁夏大学物理电气信息学院,宁夏银川750021

出　　处：《江西师范大学学报（自然科学版）》2011年第3期313-315,共3页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(1106201)资助项目

摘　　要：选择3次样条小波基函数求解第1类、第2类柯西奇异积分方程,利用基函数将积分方程离散为线性代数方程组.通过不同方法完成2个数值算例.与其它数值方法对比表明:本方法具有较高的精确度,并且便于上机运行.Hermit cubic spline multiwavelet is selected as basis functions to estimate solutions for the first Cauchy singular integral equations and the second Cauchysingular integral equations.The basis functions are used to convert intergral equations to the system of linear equations.Finally,a numerical examples are made by different mathods.Comparing with the other numerical method,this wavelet method has high accuracy and is also easy to operate on computer.

关 键 词：3次样条 柯西奇异积分 小波 

分 类 号：O343.1[理学—固体力学]