Title of article :
The numerical approximation for the solution of linear and non- linear integral equations of the second kind by interpolating moving least squares
Author/Authors :
Asgari, Morteza Faculty of Mathematical Sciences - Shahrood University of Technology - Shahrood, Iran , Mesforush, Ali Faculty of Mathematical Sciences - Shahrood University of Technology - Shahrood, Iran , Nazemi, Alireza Faculty of Mathematical Sciences - Shahrood University of Technology - Shahrood, Iran
Abstract :
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 numerical solution of Volterra{Fredholm integral equations, and nally some examples are given to show the accuracy and applicability of the method.
Keywords :
Moving least-squares method , Volterra-Fredholm integro-differential equations , Error analysis
Journal title :
Computational Methods for Differential Equations
