A STUDY ON SINGULAR INTEGRO-DIFFERENTIAL EQUATION OF ABEL'S TYPE BY ITERATIVE METHODS

Sh.S. Behzadi, S. Abbasbandy, T. Allahviranloo
2013 Journal of Applied Mathematics and Informatics  
In this article, Adomian decomposition method (ADM) ,variation iteration method(VIM) and homotopy analysis method (HAM)for solving integro-differential equation with singular kernel have been investigated. Also,we study the existence and uniqueness of solutions and the convergence of present methods. The accuracy of the proposed method are illustrated with solving some numerical examples.
doi:10.14317/jami.2013.499 fatcat:w65p3jxr2ff5vbvccngerd26qq