Laguerre-Chebyshev Petrov-Galerkin method for solving integral equations

Document Type : Research Paper


Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah, Iraq


This project aims to solve the second kind of Volterra, Fredholm integrodifferential equations, and mixed integral equations (VIDE, FIDEs and MIEs respectively) will be solved using the Laguerre-Chebyshev Petrov-Galerkin method (PGM). By solving three cases to show how the recommended technique works in this study, we established the PGM to find the approximate solution for linear VIDEs, FIDEs, and MIEs.