Author/Authors :
فردي، مجتبي نويسنده Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran, Fardi, Mojtaba , قاسمي، مهدي نويسنده Ghasemi, M , همتي بروجني، فرشاد نويسنده Islamic Azad University, Boroujen Branch Hemati Boroujeni, Farshad
Abstract :
In this paper, we propose a method to obtain approximate
solutions to Fredholm integral-differential equations by employing the
homotopy analysis method (HAM). The HAM gives the possibility to
increase convergence region and rate of series solution. we show that the
adomian decomposition method (ADM) cannot give better results than
the present method. Five examples are presented to illustrate convergence
and accuracy of the method to the solution. Also, we compute the
absolute error to show that obtained results have reasonable accuracy.