FAST APPROXIMATION OF ALGEBRAIC AND LOGARITHMIC HYPERSINGULAR TYPE SINGULAR INTEGRALS WITH HIGHLY OSCILLATORY KERNEL
Küçük Resim Yok
Tarih
2020
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Etamaths Publ
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Herein, highly oscillatory integrals with hypersingular type singularities are studied. After transforming the original integral into a sum of line integrals over a positive semi-infinite interval, a Gauss-related quadrature rule is constructed. The vehicle utilized is the moment's information. The comparison of two algorithms (Chebyshev and its modified one) to produce the recursion coefficients that satisfy orthogonal polynomial with respect to Gautschi logarithmic weight function, is investigated. Lastly, numerical examples are given to substantiate the effectiveness of the proposed method.
Açıklama
Anahtar Kelimeler
highly oscillatory kernel, Gauss quadrature, hypersingular integrals, Chebyshev and modified Chebyshev algorithms, algebraic and logarithm singular integrals
Kaynak
International Journal of Analysis and Applications
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
18
Sayı
6
