A class of iterative methods for solving nonlinear equation with fourth-order convergence

2013/07/28 by J. P. Jaiswal, Jaiswal, J. P.
Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1307.7334

openalex publication_date 2013/07/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper we established a class of optimal fourth-order methods which is obtained by existing third-order method for solving nonlinear equations for simple roots by using weight functions. Some physical examples are given to illustrate the efficiency and performance of our method.

Citations

• Optimal Order of One-Point and Multipoint Iteration

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