Chebyshev wavelet for hypersingular integrals on circle and its application
The numerical algorithm of hypersingular integral is always an important topic in recent years. According to the different definitions of singular integral, we would get the different numerical methods. In this work, we mainly discuss the numerical solution of hypersingular integrals on circle by using the Chebyshev wavelet. A quadrature formula is given by making use of the orthogonality of Chebyshev wavelet and the important formula in generalized function. Then we apply the method to solve the singular integrals with the Hilert kernel. The numerical examples show that the method is effective.
hypersingular integral Chebyshev wavelet approximate formula Hilert kernel numerical solution
Y. M. Chen M. X. Yi C. Chen H. Y. Yu
College of Sciences, Yanshan University, Qinhuangdao 066004, China Department of Italian, China Radio International, Beijing, 100040 China
国际会议
长沙
英文
1-9
2012-05-18（万方平台首次上网日期，不代表论文的发表时间）