Optimal formulas for the approximate-analytical solution of the general Abel integral equation in the Sobolev space

This article discusses the development of a new algorithm, which is based on optimal quadrature formulas for obtaining solutions to the generalized Abel integral equations. Based on the study, it was found that the proposed scheme is very effective, extremely accurate and can be extended to other sp...

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Bibliographic Details
Main Authors: Kholmat M. Shadimetov, Bakhtiyor S. Daliev
Format: Article
Language:English
Published: Elsevier 2022-08-01
Series:Results in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037422000231