A New Second Derivative Free Iterative Method of Fifth Order of Convergence and Its Applications

Authors

  • Ayunda Putri University of Riau
  • Imran M University of Riau

DOI:

https://doi.org/10.25077/jmua.12.4.283-292.2023

Keywords:

nonlinear equations, iterative method, Halley's method

Abstract

The primary objective of this article is to derive a new free from second derivative iterative method for solving nonlinear equations. The proposed method is proven to have fifth order of convergence. Comparisons with other iterative methods represent the advantage of the modified method. Observation on applications of the method in problem of chemical equilibrium , binary azeotropic problem, volume from van der Waals equations and eccentric anomaly in Kepler's law exhibits that our method is applicable and preferable.

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Author Biographies

Ayunda Putri, University of Riau

Department of Mathematics, Faculty of Mathematics and Natural Sciences

Imran M, University of Riau

Department of Mathematics, Faculty of Mathematics and Natural Sciencens

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Published

21-10-2023

How to Cite

Putri, A., & M, I. (2023). A New Second Derivative Free Iterative Method of Fifth Order of Convergence and Its Applications. Jurnal Matematika UNAND, 12(4), 283–292. https://doi.org/10.25077/jmua.12.4.283-292.2023

Issue

Vol. 12 No. 4 (2023)

Section

Articles

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