Using Lagrange Interpolation for Solving Nonlinear Algebraic Equations

Abstract

Finding the roots of nonlinear algebraic equations is an important problem in science and engineering, later many methods developed for solving nonlinear equations. These methods are given [1-28], in this paper, a new Algorithm for solving nonlinear algebraic equations is obtained by using Lagrange Interpolation method by fitting a polynomial form of degree two. This paper compare the present method with the Famous methods of Regula Falsi (RF), Besection (BS), Modified Regula Falsi (MRF), Nonlinear Regression Method (NR) given by Jutaporn N, Bumrungsak P and Apichat N, 2016 [1] and Least Square Method (LS) given by N. IDE, 2016 [2]. We verified on a number of examples and numerical results obtained show that the present method is faster than the other methods.