辽宁工程技术大学学报（自然科学版）2011，Vol.30Issue(1)：157-160,4.
一类强奇异积分方程的数值求解方法
A class of numerical method for hypersingular integral equation
摘要
Abstract
In order to improve the solution of integral equation with hypersingular in the BEM, with the study of literatures associated with singular integral, this paper proposes a new method for direct numerical evaluation of hypersingular integral.The advantage of the proposed method is the numerical computation of the hypersingular integrals using Chebyshev polynomial equations and reducing singularity.Therefore, the accuracy and efficiency of nmerical methods are significantly improved.The method is also extended to solve more general hypersingular integral equation.The study shows that the numerical results coincide with the theoretic analysis.关键词
积分方程/强奇异积分/Cauchy主值积分Key words
integral equation/ hypersingular integral/ Cauchy principal value integrals分类
数理科学引用本文复制引用
陈一鸣,赵所所,徐增辉,王乾,武永兵..一类强奇异积分方程的数值求解方法[J].辽宁工程技术大学学报（自然科学版）,2011,30(1):157-160,4.基金项目
河北省自然科学基金资助项目(E2009000365) （E2009000365）
