Open AccessImproved Newton-Raphson Methods for Solving Nonlinear Equations
Author(s) -
Liang Fang,
Lin Pang
Publication year - 2017
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v13i5.6533
Subject(s) - newton's method , mathematics , nonlinear system , simple (philosophy) , numerical analysis , newton's method in optimization , root finding algorithm , local convergence , secant method , mathematical optimization , iterative method , mathematical analysis , philosophy , physics , epistemology , quantum mechanics
In this paper, we mainly study the numerical algorithms for simple root of nonlinear equations based on Newton-Raphson method. Two modified Newton-Raphson methods for solving nonlinear equations are suggested. Both of the methods are free from second derivatives. Numerical examples are made to show the performance of the presented methods, and to compare with other ones. The numerical results illustrate that the proposed methods are more efficient and performs better than Newton-Raphson method.