Numerical Analysis
1. A Barzilai Borwein Adaptive Trust-Region Method for Solving Systems of Nonlinear Equation

F. Rahpeymaii; M. Kimiaei

Volume 6, Issue 4 , Autumn 2017, , Pages 339-349

http://dx.doi.org/10.22105/riej.2017.101854.1027

Abstract
  In this paper, we introduce a new adaptive trust-region approach to solve systems of nonlinear equations. In order to improve the efficiency of adaptive radius strategy proposed by Esmaeili and Kimiaei [8], Barzilai Borwein technique (BB) [3] with low memory is used which can truly control the trust-region ...  Read More

Numerical Analysis
2. CAS Wavelet Function Method for Solving Abel Equations with Error Analysis

R. Ezzati; K. Maleknejad; E. Fathizadeh

Volume 6, Issue 4 , Autumn 2017, , Pages 350-364

http://dx.doi.org/10.22105/riej.2017.100538.1017

Abstract
  In this paper we use a computational method based on CAS wavelets for solving nonlinear fractional order Volterra integral equations. We solve particularly Abel equations. An operational matrix of fractional order integration for CAS wavelets is used. Block Pulse Functions (BPFs) and collocation method ...  Read More

Mathematical modelling
3. Non-Standard Finite Difference Schemes for Solving Singular Lane-Emden Equation

H. Saberi Najafi; A. Yaghoubi

Volume 6, Issue 2 , Spring 2017, , Pages 161-171

http://dx.doi.org/10.22105/riej.2017.92303.1001

Abstract
  In this paper we construct Non-Standard finite difference schemes (NSFD) for numerical solution of nonlinear Lane-Emden type equations which are nonlinear ordinary dierential equations on semi-infinite domain. They are categorized as singular initial value problems. This equation describes a variety ...  Read More