- Communications in Advanced Mathematical Sciences
- Vol: 2 Issue: 3
- Solving FIDEs by Using Semi-Analytical Techniques
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 : 15 | Download : 12
Publication Date : 2019-09-30
Article Type : Research
Abstract :This paper mainly focuses on the recent advances in the semi-analytical approximated methods for solving Fredholm Integro-Differential Equations (FIDEs) of the second kind by using Variational Iteration Method (VIM), Homotopy Perturbation Method (HPM) and Direct Homotopy Analysis Method (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