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

  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

Integral equations
2. 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

  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

Probability theory and stochastic processes
3. Application of triangular functions for solving the vasicek model

Z. Sadati; Kh. Maleknejad

Volume 04, Issue 03 , Summer 2015, , Pages 173-182

  This paper introduces a numerical method for solving the vasicek model by using a stochastic operational matrix based on the triangular functions (TFs) in combination with the collocation method. The method is stated by using conversion the vasicek model to a stochastic nonlinear system of $2m+2$ equations ...  Read More