Title of article
Numerical solutions of Abel integral equations via Touchard and Laguerre polynomials
Author/Authors
Talab Abdullah, Jalil College of Administration and Economics - Wasit University, Iraq , Sweedan Naseer, Bushra Institute of Medical Technology - Al-Mansour, Middle Technical University, Iraq , Taha Abdllrazak, Balasim College of Engineering - Al-Mustansiriya University, Iraq
Pages
11
From page
1599
To page
1609
Abstract
In this article, two numerical methods based on Touchard and Laguerre polynomials were presented to solve Abel integral (AI) equations. Touchard and Laguerre matrices were utilized to transform Abel integral equations into an algebraic system of linear equations. Solve this system of these equations to obtain Touchard and Laguerre parameters. Four examples are given to demonstrate the presented methods. The solutions were compared with the solutions in the literature.
Keywords
Abel integral equation , Numerical solution , singular Volterra , Touchard polynomials , Laguerre polynomials
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2021
Record number
2701949
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