Improved Newton-Raphson Methods for Solving Nonlinear Equations

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2017, Vol 13, Issue 5

Abstract

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.

Authors and Affiliations

Liang Fang, Lin Pang

Keywords

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  • EP ID EP651794
  • DOI 10.24297/jam.v13i5.6533
  • Views 172
  • Downloads 0

How To Cite

Liang Fang, Lin Pang (2017). Improved Newton-Raphson Methods for Solving Nonlinear Equations. JOURNAL OF ADVANCES IN MATHEMATICS, 13(5), 7403-7407. https://europub.co.uk/articles/-A-651794