Solving FIDEs by Using Semi-Analytical Techniques

Authors : Ahmed A HAMOUD, Kirtiwant P GHADLE, Nedal M MOHAMMED

Pages : 192-198

Doi:10.33434/cams.559717

View : 13 | Download : 14

Publication Date : 2019-09-30

Article Type : Research Paper

Abstract :This paper mainly focuses on the recent advances in the semi-analytical approximated methods for solving Fredholm Integro-Differential Equations  insert ignore into journalissuearticles values(FIDEs); of the second kind by using  Variational Iteration Method insert ignore into journalissuearticles values(VIM);, Homotopy Perturbation Method insert ignore into journalissuearticles values(HPM); and Direct Homotopy Analysis Method insert ignore into journalissuearticles values(DHAM);. Convergence analysis of the exact solution of the proposed methods is established. Moreover, we proved the uniqueness of the solution.   To illustrate the methods, an example is presented.
Keywords : Fredholm integro differential equation, variational iteration method, homotopy perturbation method, direct homotopy analysis method