Komeil Izadpanah - Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
Ali Mesforush - Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
Ali Nazemi - Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran

In this paper, we propose a numerical method to solve the elliptic stochastic partial differential equations (SPDEs) obtained by Gaussian noises using an element free Galerkin method based on stabilized interpolating moving least square shape functions. The error estimates of the method is presented. The method is tested via several problems. The numerical results show the usefulness and  accuracy of the new method.

Element free Galerkin method, Stabilized interpolating moving least square, Stochastic elliptic equation Error estimates