چکیده (انگلیسی):

This paper aims at developing a meshless approximation based on the Moving Least Square (MLS), in addition to its application for solving a system of linear Fred holm integral equations of the second kind. For the MLS, nodal points are used to approximate the unknown functions. These points can be selected as regular or random from the domain under study. The method is a meshless one, and since it uses a local shape function in the vicinity of each nodal point which is chosen from the support points, it does not depend on the geometry of the domain. Inthismethod,theunknownfunctionisconsideredasavectoroffunctionsofitskind.Anerroranalysishasalsobeenprovidedforthisnewmethod.Asimpleandefficientapplicationofthismethodhasalsodemonstrated through several numerical examples.