Authors: Himanshu Kumar; P.K. Parida
Addresses: Center for Applied Mathematics, Central University of Jharkhand, Ranchi-835205, India ' Center for Applied Mathematics, Central University of Jharkhand, Ranchi-835205, India
Abstract: The aim of this article is to give a numerical method for solving Abel's general fuzzy linear integral equations with arbitrary kernel. The numerical solution has been obtained by using the method called homotopy analysis method (HAM). The convergence analysis for the proposed method is also given and the applicability of the proposed method is illustrated by solving some numerical examples. The results show the utility and the greater potential of the HAM to solve fuzzy integral equations.
Keywords: fuzzy integral equations; Abel; homotopy analysis method; HAM.
International Journal of Fuzzy Computation and Modelling, 2015 Vol.1 No.4, pp.382 - 396
Received: 13 Apr 2015
Accepted: 26 Jul 2015
Published online: 30 Apr 2016 *