Numerical solutions of Abel integral equations via Touchard and Laguerre polynomials | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 1599-1609 اصل مقاله (531.04 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5290 | ||
| نویسندگان | ||
| Jalil Talab Abdullah* 1؛ Bushra Sweedan Naseer2؛ Balasim Taha Abdllrazak3 | ||
| 1College of Administration and Economics, Wasit University, Iraq | ||
| 2Institute of Medical Technology, Al-Mansour, Middle Technical University, Iraq | ||
| 3College of Engineering, Al-Mustansiriya University, Iraq | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Abel integral equation؛ Numerical solution؛ singular Volterra؛ Touchard polynomials؛ Laguerre polynomials | ||
| مراجع | ||
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