The Third-order Iterative Method for Solving Nonlinear Equations

Chalermwut Comemuang; Naratip Wisesram; Natthapoom Pongsawat

doi:10.14456/nujst.2023.4

Authors

Chalermwut Comemuang Department of Mathematics Science, Faculty of Science, Buriram Rajabhat University, Buriram 31000, Thailand
Naratip Wisesram Department of Mathematics Science, Faculty of Science, Buriram Rajabhat University, Buriram 31000, Thailand
Natthapoom Pongsawat Department of Mathematics Science, Faculty of Science, Buriram Rajabhat University, Buriram 31000, Thailand

DOI:

https://doi.org/10.14456/nujst.2023.4

Keywords:

Nonlinear equations, Newton’s method, Oder of convergence, Iterative method

Abstract

In this paper, we present a new iterative method for solving nonlinear equations, which were developed from the concept of Rafiq et al. The new method is based on Newton’s method and using Taylor’s Series to prove the convergence of the method. This iterative method requires three evaluations of the function, and only use the first derivative. Analysis of its convergence shows that the order of convergence of the new iterative method is third. Numerical comparisons are made with other methods to show the efficiency of the proposed method.

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