Chebyshev polynomial solution of the system of Cauchy-type singular integral equations of the first kind
International Journal of Computer Mathematics, cilt.90, sa.5, ss.944-954, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 90 Sayı: 5
- Basım Tarihi: 2013
- Doi Numarası: 10.1080/00207160.2012.738811
- Dergi Adı: International Journal of Computer Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.944-954
- Anahtar Kelimeler: approximate technique, characteristic singular integral equation, Chebyshev polynomials, Chebyshev series expansion, singular integral equation
- Uşak Üniversitesi Adresli: Evet
Özet
This paper presents a Chebyshev series method for the numerical solutions of system of the first kind Cauchy type singular integral equation (SIE). The Chebyshev polynomials of the second kind with the corresponding weight function have been used to approximate the density functions. It is shown that the numerical solution of system of characteristic SIEs is identical to the exact solution when the force functions are cubic functions. © 2013 Copyright Taylor and Francis Group, LLC.