辽宁工程技术大学学报（自然科学版）Issue(3)：429-432,4.
Chebyshev 小波求解超奇异积分
Chebyshev wavelets for solving hyper-singular integral
摘要
Abstract
In terms of the hyper-singular integrals numerical calculation problems, this paper uses the Chebyshev wavelets to calculate the hyper-singular integrals which are based on the definition of Hadamard finite-part integrals of the hyper-singular integrals. As the Chebyshev wavelet has the properties of orthogonality, the explicit expression and the computability of wavelet function, the singular point in the hyper-singular interval can be transformed into the endpoints of interval, and subsequently, the hyper-singular integral can be computed by using the definition of Hadamard finite-part integral where the hyper-singular point is located at the endpoints of interval. The study examples demonstrate the validity and applicability of the proposed technique.关键词
Chebyshev 小波/超奇异积分/Hadamard 有限部分积分/Chebyshev 多项式/数值计算/奇异点/函数逼近/误差Key words
Chebyshev wavelet/hypersingular integral/Hadamard finite-part integral/Chebyshev polynomial/numerical calculation/singular point/function approximation/error分类
数理科学引用本文复制引用
陈一鸣,付小红,李宣,刘丽丽..Chebyshev 小波求解超奇异积分[J].辽宁工程技术大学学报（自然科学版）,2013,(3):429-432,4.基金项目
河北省自然科学基金资助项目(A2012203047) （A2012203047）
