Kazem Nouri - Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences,Semnan University, P. O. Box ۳۵۱۹۵-۳۶۳, Semnan, Iran
Leila Torkzadeh - Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences,Semnan University, P. O. Box ۳۵۱۹۵-۳۶۳, Semnan, Iran

In this paper, we consider the numerical solution of Fredholm integral equations of the first kind. For solving this equations,following Tikhonov, we find regularization Parameter. This parameter acts as a smoothing filter of data used in a ill-posed problem. In general the numerical methods for finding this parameter lead to a linear or non linear problem with a free parameter. Here, we use Monte-Carlo approach in a interval to finding this parameter. For showing efficiency of method, we test our algorithm by comparing numerical results with the exact solution in ill-posed problems

First kind integral equation, Ill-posed Problem, Monte-Carlo method, Regularization parameter, Inverse problems