Volume 13 (2021)
Volume 12 (2020)
Volume 11 (2019)
Volume 10 (2018)
Volume 9 (2017)
Volume 8 (2016)
Volume 7 (2015)
Volume 6 (2014)
Volume 5 (2013)
Volume 4 (2012)
Volume 3 (2011)
Volume 2 (2010)
Volume 1 (2009)
Numerical Analysis
1. Meshless RBF Method for Linear and Nonlinear Sobolev Equations

Mehran Nemati; Mahmoud Shafiee; Hamideh Ebrahimi

Volume 12, Issue 2 , Autumn 2020, , Pages 161-174

Abstract
  Radial Basis Functions are considered as important tools for scattered data interpolation. Collocation procedure is a powerful technique in meshless methods which is developed on the assumption of radial basis functions to solve partial differential equations in high dimensional domains having complex ...  Read More

Numerical Analysis
2. A New Eight-Order Iteretive Method for Solving Nonlinear Equations with High Efficiency index

Waziri Mohammed Yusuf; Kabir Saminu

Volume 12, Issue 2 , Autumn 2020, , Pages 203-211

Abstract
  In this paper, we develop a new eighth-order method for simple roots of non- linear equations via weight function and interpolation methods. The method requires only three(3) function evaluation and a derivative evaluation with 81/4 ≈ 1.682 efficiency index . Numerical comparison between the proposed ...  Read More

Numerical Analysis
3. Application of Adomian Decomposition Method and Variational Iteration Method to Dynamical System Problems

Babatunde Morufu Yisa

Volume 12, Issue 1 , Spring 2020, , Pages 83-90

Abstract
  Adomian decomposition method and He’s variational Iteration method are applied to nonlinear oscillator problems that involve conservative type of oscillators. The methods proved to be effective for the general and specific cases due to their algorithms that admit nonlinear terms in the problems. ...  Read More

Numerical Analysis
4. Improving adaptive resolution of analog to digital converters using least squares mean method

Shadan Sadigh behzadi

Volume 11, Issue 2 , Autumn 2019, , Pages 97-105

Abstract
  This paper presents an adaptive digital resolution improvement method for extrapolating and recursive analog-to-digital converters (ADCs). The presented adaptively enhanced ADC (AE-ADC) digitally estimates the digital equivalent of the input signal by utilizing an adaptive digital filter (ADF). The least ...  Read More

Numerical Analysis
5. Shifted Chebyshev Approach for the Solution of Delay Fredholm and Volterra Integro-Differential Equations via Perturbed Galerkin Method

Kazeem Issa; Jafar Biazar; Babatunde Morufu Yisa

Volume 11, Issue 2 , Autumn 2019, , Pages 149-159

Abstract
  The main idea proposed in this paper is the perturbed shifted Chebyshev Galerkin method for the solutions of delay Fredholm and Volterra integrodifferential equations. The application of the proposed method is also extended to the solutions of integro-differential difference equations. The method ...  Read More

Numerical Analysis
6. Application of the Lie Symmetry Analysis for second-order fractional differential equations

Mousa Ilie; Jafar Biazar; Zainab Ayati

Volume 9, Issue 2 , Autumn 2017, , Pages 79-83

Abstract
  Obtaining analytical or numerical solution of fractional differential equations is one of the troublesome and challenging issue among mathematicians and engineers, specifically in recent years. The purpose of this paper Lie Symmetry method is developed to solve second-order fractional differential equations, ...  Read More

Numerical Analysis
7. A method to obtain the best uniform polynomial approximation for the family of rational function

M. A. Fariborzi Araghi; F. Froozanfar

Volume 7, Issue 1 , Spring 2015, , Pages 753-766

Abstract
  In this article, by using Chebyshev’s polynomials and Chebyshev’s expansion, we obtain the best uniform polynomial approximation out of P2n to a class of rational functions of the form (ax2+c)-1 on any non symmetric interval [d,e]. Using the obtained approximation, we provide the best ...  Read More

Numerical Analysis
8. Exact solutions for wave-like equations by differential transform method

J. Biazar; M. Eslami

Volume 7, Issue 1 , Spring 2015, , Pages 767-773

Abstract
  Differential transform method has been applied to solve many functional equations so far. In this article, we have used this method to solve wave-like equations. Differential transform method is capable of reducing the size of computational work. Exact solutions can also be achieved by the known forms ...  Read More

Numerical Analysis
9. A NEW APPROACH OF FUZZY NUMBERS WITH DIFFERENT SHAPES AND DEVIATION

A. Ghanizadeh; N. Parandin

Volume 6, Issue 2 , Summer 2014, , Pages 730-736

Abstract
  In this paper, we propose a new method for fuzzy numbers. In this method, we assume that Ai= (ai1, ai2, ai3, ai4) is to be a fuzzy number. So, the convex combination of ai1 and ai2 and also the convex combination of ai3 and ai4 are obtained separately. Then, Mic and Mis that are to be the convex combinations ...  Read More

Numerical Analysis
10. Application of G'/G-expansion method to the (2+1)-dimensional dispersive long wave equation

Jafar Biazar; Zainab Ayati

Volume 6, Issue 2 , Summer 2014, , Pages 745-752

Abstract
  In this work G'/G-expansion method has been employed to solve (2+1)-dimensional dispersive long wave equation. It is shown that G'/G-expansion method, with the help of symbolic computation, provides a very effective and powerful mathematical tool, for solving this equation.  Read More