Generalized log orthogonal functions for solving a class of cordial Volterra integral equations

	Generalized log orthogonal functions for solving a class of cordial Volterra integral equations
International Journal of Nonlinear Analysis and Applications
مقاله 1، دوره 17، شماره 2، اردیبهشت 2026، صفحه 1-6 اصل مقاله (451.69 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.34597.5177
نویسندگان
Saeideh Tayebinejad^* ؛ Fakhrodin Mohammadi
Department of Mathematics, University of Hormozgan, Bandar Abbas, P. O. Box 3995, Iran
چکیده
This paper deals with the numerical solution of a class cordial Volterra integral equation with the Mittag-Leffler solution. A numerical approach based on the generalized log orthogonal functions is proposed to solve this kind of Volterra integral equation. By using the generalized log orthogonal functions as a basis function, the presented numerical method can effectively approximate the solution of problems with singular behaviour. The error estimate with respect to $L^{2}-$norm is investigated. Finally, the accuracy of the method is illustrated through a numerical example.
کلیدواژه‌ها
‎Cordial Volterra integral equation؛ Mittage−Leffler function؛ Generalized log orthogonal functions
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