Title of article :
Laguerre-Chebyshev Petrov-Galerkin method for solving integral equations
Author/Authors :
Kadhim Munaty, Ali Department of Mathematics - College of Education for Pure Sciences - University of Basrah, Basrah, Iraq , Al-Humedi, Hameeda Oda Department of Mathematics - College of Education for Pure Sciences - University of Basrah, Basrah, Iraq
Abstract :
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.
Keywords :
Integral equation , Laguerre-Chebyshev , Petrov-Galerkin method , Orthogonal polynomial , Convergence analysis
Journal title :
International Journal of Nonlinear Analysis and Applications
