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Generalized log orthogonal functions for solving a class of cordial Volterra integral equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 20 بهمن 1403 اصل مقاله (453.33 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 | ||
| تاریخ دریافت: 10 تیر 1403، تاریخ پذیرش: 28 شهریور 1403 | ||
| 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 | ||
| مراجع | ||
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