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...
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 |
Similar Items
-
Solving Abel integral equations of first kind via fractional calculus
by: Salman Jahanshahi, et al.
Published: (2015-04-01) -
Approximate solution of Abel integral equation in Daubechies wavelet basis
by: Jyotirmoy Mouley, et al.
Published: (2021-08-01) -
Optimal quadrature formulas in Sobolev space for solving the generalized Abel integral equation
by: Daliyev Bakhtiyor, et al.
Published: (2024-01-01) -
Optimal quadrature formulas for oscillatory integrals in the Sobolev space
by: Kholmat Shadimetov, et al.
Published: (2022-08-01) -
Comparison of the Orthogonal Polynomial Solutions for Fractional Integral Equations
by: Ayşegül Daşcıoğlu, et al.
Published: (2019-01-01)