Fast Approximation of Algebraic and Logarithmic Hypersingular Type Singular Integrals with Highly Oscillatory Kernel

Autor: Idrissa Kayijuka, Şerife Müge Ege, Ali Konuralp, Fatma Serap Topal
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: International Journal of Analysis and Applications, Vol 18, Iss 6, Pp 965-980 (2020)
Druh dokumentu: article
ISSN: 2291-8639
Popis: 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.
Databáze: Directory of Open Access Journals