Numerical solutions of Abel integral equations via Touchard and Laguerre polynomials

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.

Numerical solutions of Abel integral equations via Touchard and Laguerre polynomials Keywords:

Abel integral equation , Numerical Solution , singular Volterra , Touchard polynomials , Laguerre polynomials

Numerical solutions of Abel integral equations via Touchard and Laguerre polynomials authors

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College of Administration and Economics, Wasit University, Iraq

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Institute of Medical Technology, Al-Mansour, Middle Technical University, Iraq

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College of Engineering, Al-Mustansiriya University, Iraq

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https://civilica.com/doc/1561203

Document National Code:

JR_IJNAA-12-2_123

Index date: 2 December 2022

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