Integral equations
1. An efficient method for the numerical solution of functional integral equations

M. Nili Ahmadabadi

Volume 09, Issue 02 , Spring 2020, , Pages 105-111

Abstract
  We propose an efficient mesh-less method for functional integral equations. Its convergence analysis has been provided. It is tested via a few numerical experiments which show the efficiency and applicability of the proposed method. Attractive numerical results have been obtained.  Read More

Difference and functional equations
2. The method of radial basis functions for the solution of nonlinear Fredholm integral equations system.

J. Nazari; M. Nili Ahmadabadi; H. Almasieh

Volume 06, Issue 01 , Winter 2017, , Pages 11-28

Abstract
  In this paper, An effective and simple numerical method is proposed for solving systems of integral equations using radial basis functions (RBFs). We present an algorithm based on interpolation by radial basis functions including multiquadratics (MQs), using Legendre-Gauss-Lobatto nodes and weights. ...  Read More

Integral equations
3. A numerical solution of mixed Volterra Fredholm integral equations of Urysohn type on non-rectangular regions using meshless methods

M. Nili Ahmadabadi; H. Laeli Dastjerdi

Volume 04, Issue 04 , Autumn 2015, , Pages 289-304

Abstract
  In this paper, we propose a new numerical method for solution of Urysohn two dimensional mixed Volterra-Fredholm integral equations of the second kind on a non-rectangular domain. The method approximates the solution by the discrete collocation method based on inverse multiquadric radial basis functions ...  Read More