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

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^{۲}-norm is investigated. Finally, the accuracy of the method is illustrated through a numerical example.

کلیدواژه ها:

‎Cordial Volterra integral equation ، Mittage−Leffler function ، Generalized log orthogonal functions