Numerical analysis
1. A Chebyshev functions method for solving linear and nonlinear fractional differential equations based on Hilfer fractional derivative

M. H. Derakhshan; A. Aminataei

Volume 09, Issue 04 , Autumn 2020, , Pages 267-280

Abstract
  The theory of derivatives and integrals of fractional in fractional calculus have found enormousapplications in mathematics, physics and engineering so for that reason we need an efficient and accurate computational method for the solution of fractional differential equations. This paper presents ...  Read More

Integral equations
2. 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

Linear and multilinear algebra; matrix theory
3. On the duality of quadratic minimization problems using pseudo inverses

D. Pappas; G. Domazakis

Volume 08, Issue 02 , Spring 2019, , Pages 133-143

Abstract
  ‎In this paper we consider the minimization of a positive semidefinite quadratic form‎, ‎having a singular corresponding matrix $H$‎. ‎We state the dual formulation of the original problem and treat both problems only using the vectors $x \in \mathcal{N}(H)^\perp$ instead of the classical ...  Read More

Numerical analysis
4. Numerical solution of a system of fuzzy polynomial equations by modified Adomian decomposition method

M. Mosleh

Volume 06, Issue 03 , Summer 2017, , Pages 237-250

Abstract
  In this paper, we present some efficient numerical algorithm for solving system of fuzzy polynomial equations based on Newton's method. The modified Adomian decomposition method is applied to construct the numerical algorithms. Some numerical illustrations are given to show the efficiency ...  Read More