Cauchy奇异积分及积分方程的高精度算法  

Cauchy singular integral and high-accuracy solution of integral equation

作　　者：贾红艳[1] 莫君慧[1] 

机构地区：[1]安阳师范学院数学与统计学院,河南安阳455000

出　　处：《兰州理工大学学报》2013年第1期147-150,共4页Journal of Lanzhou University of Technology

摘　　要：通过讨论Cauchy奇异积分方程的数值解法,给出新型Cauchy奇异积分公式,Euler-Maclaurin展开式及外推公式.另外还给出带有Hilbert核的奇异积分公式,利用这些公式,讨论奇异积分方程的高精度算法.By means of discussing the numerical solution of Cauchy singular integral equation,a Cauchy singular integral quadrature formula,Euler-Maclaurin expansion and extrapolation formula were given.Besides,a quadrature formula with Hilbert nucleus was given,also.By using these formulas,the high-precision quadrature algorithm of singular integral equations was discussed.

关 键 词：Cauchy积分和积分方程 积分公式 外推公式 Euler-Maclaurin展开式 

分 类 号：O175.5[理学—数学]