چکیده مقاله
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
کلیدواژهها
نویسندگان
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
شیوه ارجاع
Nouri, Kazem and Torkzadeh, Leila,1396,Monte-Carlo Approach to Choose the Tikhonov Regularization Parameter for Solving Integral Equations,2rd International Conference on Soft Computing,Rudsar
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