Numerical Solutions of Linear Abel Integral Equations Via Boubaker Polynomials Method

Jalil Talab Abdullah; Haleema Swaidan Ali; Waleeda Swaidan Ali

doi:10.21123/bsj.2023.8167

Baghdad Science Journal (May 2024)

Numerical Solutions of Linear Abel Integral Equations Via Boubaker Polynomials Method

Jalil Talab Abdullah,
Haleema Swaidan Ali,
Waleeda Swaidan Ali

Affiliations

Jalil Talab Abdullah: ORCiD; Department of Statistics, College of Administration and Economics, Wasit University, Iraq
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
Journal volume & issue: Vol. 21, no. 5

Abstract

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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.

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

Published in Baghdad Science Journal

ISSN: 2078-8665 (Print); 2411-7986 (Online)
Publisher: College of Science for Women, University of Baghdad
Country of publisher: Iraq
LCC subjects: Science
Website: http://bsj.uobaghdad.edu.iq/index.php/BSJ

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