Iterative Methods for Solving Nonlinear Equations with Fourth-Order Convergence

Authors

  • Jivandhar Jnawali Ratna Rajyalaxmi Campus, Tribhuvan University, Kathmandu
  • Chet Raj Bhatta Central Department of Mathematics, Tribhuvan University, Kirtipur, Kathmandu

DOI:

https://doi.org/10.3126/tuj.v30i2.25548

Keywords:

Newton method, nonlinear equation, fourth-order convergence, inverse function, iterative method

Abstract

In this paper, we obtain fourth order iterative method for solving nonlinear equations by combining arithmetic mean Newton method, harmonic mean Newton method and midpoint Newton method uniquely. Also, some variant of Newton type methods based on inverse function have been developed. These methods are free from second order derivatives.

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Author Biographies

Jivandhar Jnawali, Ratna Rajyalaxmi Campus, Tribhuvan University, Kathmandu

Reader in Mathematics

Chet Raj Bhatta, Central Department of Mathematics, Tribhuvan University, Kirtipur, Kathmandu

Professor in Mathematics 

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Published

2016-12-01

How to Cite

Jnawali, J., & Bhatta, C. R. (2016). Iterative Methods for Solving Nonlinear Equations with Fourth-Order Convergence. Tribhuvan University Journal, 30(2), 65–72. https://doi.org/10.3126/tuj.v30i2.25548

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Section

Articles