Numerical Solutions of Linear Abel Integral Equations Via Boubaker Polynomials Method

Authors

  • Jalil Talab Abdullah Department of Statistics, College of Administration and Economics, Wasit University, Iraq https://orcid.org/0000-0002-6847-3635
  • Haleema Swaidan Ali Department of Environmental Sciences, College of Energy & Environmental Sciences, Al Karkh University of Science, Iraq
  • Waleeda Swaidan Ali Department of Agriculture Machines and Equipment, College of Agricultural Engineering Sciences, University of Baghdad, Iraq

DOI:

https://doi.org/10.21123/bsj.2023.8167

Keywords:

Abel integral Eqs, Boubaker polynomial, Numerical solutions, Numerical method, Singular Voltarra Eq.

Abstract

In this article, a numerical method based on Boubaker polynomials (BPs) was presented to solve the Linear Abel integral (LAI) Eqs of first and second types. The matrices were used to form the (LAI) Eq  into a system of linear Eqs. To get Boubaker parameters, solve this system of Eqs using the Guess elimination method. To explain the results of this method, four examples have been provided and compared with the results of many methods mentioned in previous research. MATLAB R2018b program was used to perform all calculations and graphs. 

Received 25/11/2022

Revised 24/03/2023

Accepted 26/03/2023

Published Online First 20/10/2023

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Numerical Solutions of Linear Abel Integral Equations Via Boubaker Polynomials Method. Baghdad Sci.J [Internet]. [cited 2024 Apr. 30];21(5). Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8167
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