数学杂志2012，Vol.32Issue(4)：582-588,7.
圆周上带希尔伯特核的柯西奇异积分方程的数值解
NUMERICAL SOLUTION OF CAUCHY SINGULAR INTEGRAL EQUATIONS WITH HILBERT KERNEL ON THE CIRCLE
摘要
Abstract
In this paper,we first investigate the composite trapezoidal rule for the evaluation of Cauchy principle value integral with Hilbert kernel on a circle.By using continuous piecewise linear function to approximate density function,we get the error estimation of numerical integral.Then we apply the rule to construct two schemes for solving the relevant singular integral equation.Some numerical experiments are presented to confirm the theoretical analysis at last.关键词
Hilbert变换/奇异积分方程/Cauchy主值积分/配置法Key words
Hilbert transform/ singular integral equation/ Cauchy principal value integral/collocation method分类
数理科学引用本文复制引用
刘扬,宋兵..圆周上带希尔伯特核的柯西奇异积分方程的数值解[J].数学杂志,2012,32(4):582-588,7.基金项目
Supported by National Natural Science Foundation of China (10671182) （10671182）
the Fundamental Research Funds for the Central Universities (2011-la-012). （2011-la-012）
