Generalized log orthogonal functions for solving a class of cordial Volterra integral equations
نویسندگان
1 Department of Mathematics, University of Hormozgan, Bandar Abbas, P. O. Box 3995, Iran
2 Department of Mathematics, University of Hormozgan, Bandar Abbas, P. O. Box 3995, Iran
doi
10.22075/ijnaa.2024.34597.5177چکیده
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.
