University of Tabriz Computational Methods for Differential Equations 2345-3982 9 3 2021 07 01 The numerical approximation for the solution of linear and nonlinear integral equations of the second kind by interpolating moving least squares 830 845 10934 10.22034/cmde.2020.31729.1483 EN Morteza Asgari Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran. Ali Mesforush Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran. Alireza Nazemi Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran. Journal Article 2019 01 25 In this paper, the interpolating moving least-squares (IMLS) method is discussed. The interpolating moving least square methodology is an effective technique for the approximation of an unknown function by using a set of disordered data. Then we apply the IMLS method for the numerical solution of Volterra–Fredholm integral equations, and finally some examples are given to show the accuracy and applicability of the method. Moving least-squares method Volterra-Fredholm integro-differential equations Error analysis https://cmde.tabrizu.ac.ir/article_10934_127c0500a26ee320bd025d8c9b6c3125.pdf