Volume 1, Issue 3, September 2016, Page: 44-47
A New Algorithm for Solving Nonlinear Equations by Using Least Square Method
Nasr Al Din Ide, Faculty of Science, Department of Mathematics, Aleppo University, Aleppo, Syria
Received: Aug. 22, 2016;       Accepted: Aug. 31, 2016;       Published: Sep. 18, 2016
DOI: 10.11648/j.mcs.20160103.12      View  2243      Downloads  128
Abstract
Finding the roots of nonlinear algebraic equations is an important problem in science and engineering, later many methods have been developed for solving nonlinear equations. These methods are given [1-27], in this paper, a new Algorithm for solving nonlinear algebraic equations is obtained by using least square method by fitting a polynomial form of degree two (or parabolic form). This paper compares the present method with the method given by Jutaporn N, Bumrungsak P and Apichat N, 2016 [1], which was used nonlinear regression method in form of logarithm function. We verified on a number of examples and numerical results obtained show that the present method is faster than the method, which used the logarithm function given by [1].
Keywords
Nonlinear Algebraic Equations, Least Square Method, Logarithm Function
To cite this article
Nasr Al Din Ide, A New Algorithm for Solving Nonlinear Equations by Using Least Square Method, Mathematics and Computer Science. Vol. 1, No. 3, 2016, pp. 44-47. doi: 10.11648/j.mcs.20160103.12
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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