【摘要】 用分离奇异性的方法和正常积分的闭求积公式,构造了带Legendre权含Cauchy核奇异积分的闭求积公式,推导出奇异积分的闭求积公式的求积系数,在计算机上用Matlab编程实现求积公式的数值实验,实验数值结果与理论分析相符.更多还原

【Abstract】 We established the closed quadrature formula of the singular integrals with Cauchy kernel with Legendre weight by using the method of separating singularity and the closed quadrature formula of proper integral. The weights of the closed quadrature formula of the singular integral are derived. We have achieved the numerical experiments of this quadrature formula with Matlab on the computer. The numerical results of these experiments consistent with the theory analysis.更多还原