Approximate solution of singular integral equations of the first kind with Cauchy kernel

• Main Authors: Eshkuratov, Zainidin K., Nik Long, Nik Mohd Asri, Mahiub, Mohammad Abdulkawi
• 格式: Article
• 语言: English
• 出版: Elsevier 2009
• 在线阅读: http://psasir.upm.edu.my/id/eprint/13254/1/Approximate%20solution%20of%20singular%20integral%20equations%20of%20the%20first%20kind%20with%20Cauchy%20kernel.pdf; http://psasir.upm.edu.my/id/eprint/13254/; https://www.sciencedirect.com/science/article/pii/S0893965908002577?via%3Dihub#!

In this work a study of efficient approximate methods for solving the Cauchy type singular integral equations (CSIEs) of the first kind, over a finite interval, is presented. In the solution, Chebyshev polynomials of the first kind, Tn(x)Tn(x), second kind, Un(x)Un(x), third kind, Vn(x)Vn(x), and fo...