Hindawi Publishing Corporation Journal of Applied Mathematics Volume 2012, Article ID 216923, 17 pages doi:10.1155/2012/216923 Research Article A Numerical Scheme to Solve Fuzzy Linear Volterra Integral Equations System A. Jafarian, S. Measoomy Nia, and S. Tavan Department of Mathematics, Islamic Azad University, Urmia Branch, Urmia 5715944867, Iran Correspondence should be addressed to A. Jafarian, jafarian5594@yahoo.com Received 20 February 2012; Revised 14 June 2012; Accepted 16 June 2012 Academic Editor: Said Abbasbandy Copyright q 2012 A. Jafarian et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The current research attempts to offer a new method for solving fuzzy linear Volterra integral equations system. This method converts the given fuzzy system into a linear system in crisp case by using the Taylor expansion method. Now the solution of this system yields the unknown Taylor coefficients of the solution functions. The proposed method is illustrated by an example and also results are compared with the exact solution by using computer simulations. 1. Introduction Many mathematical formulations of physical phenomena contain integral equations. These equations appear in physics, biological models, and engineering. Since these equations are usually difficult to solve explicitly, so it is required to obtain approximate solutions. In recent years, numerous methods have been proposed for solving integral equations. For example, Tricomi, in his book 1, introduced the classical method of successive approximations for nonlinear integral equations. Variational iteration method 2 and Adomian decomposition method 3 were effective and convenient for solving integral equations. Also the Homotopy analysis method HAM was proposed by Liao 4 and then has been applied in 5. Moreover, some different valid methods for solving this kind of equations have been developed. First time, Taylor’s expansion approach was presented for solution of integral equations by Kanwal and Liu in 6 and then has been extended in 7–9. In addition, Babolian et al. 10 by using the orthogonal triangular basis functions solved some integral equation systems. Jafari et al. 11 applied Legendre’s wavelets method to find numerical solution system of linear integral equations. Also Sorkun and Yalc ¸inbas ¸ 12 approximated a solution of linear Volterra integral equations system with the help of Taylor’s series.