A New Variant of Newton’s Method With Fourth–Order Convergence

Authors

  • Jivandhar Jnawali Central Department of Mathematics, Tribhuvan University, Kirtipur
  • Chet Raj Bhatta Central Department of Mathematics, Tribhuvan University, Kirtipur

DOI:

https://doi.org/10.3126/jist.v21i1.16056

Keywords:

Newton method, Nonlinear equations, Iterative method, Order of convergence, Harmonic mean method

Abstract

In this paper, we present new iterative method for solving nonlinear equations with fourth-order convergence. This method is free from second and higher order derivatives. We find this iterative method by using Newton's theorem for inverse function and approximating the indefinite integral in Newton's theorem by the linear combination of harmonic mean rule and Wang formula. Numerical examples show that the new method competes with Newton method, Weerakoon - Fernando method and Wang method.

Journal of Institute of Science and Technology

Vol. 21, No. 1, 2016, page :86-89

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Published

2016-11-24

How to Cite

Jnawali, J., & Bhatta, C. R. (2016). A New Variant of Newton’s Method With Fourth–Order Convergence. Journal of Institute of Science and Technology, 21(1), 86–89. https://doi.org/10.3126/jist.v21i1.16056

Issue

Vol. 21 No. 1 (2016)

Section

Research Papers

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