Modified Newton method for solution of nonlinear equations

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Abstract

In this paper, we present a new modified Newton method for solving non-linear equations. This new method do not require the use of the second-order derivative. It is shown that the new method is cubically convergent. Furthermore, an unified method has been designed by generalizing the modified Newton method. Some numerical experiments are conducted to establish our theoretical findings.

Keywords:

Newton method, Haar wavelet, Iterative Method, Third-order convergence, Non-linear equations, Root-finding

Mathematics Subject Classification:

Mathematics
  • Bijaya Mishra Department of Mathematics, Gandhi Institute for Technological Advancement, Bhubaneswar-752054, Odisha, India.
  • Salila Dutta Department of Mathematics, Utkal University, Bhubaneswar-751004, Odisha, India.
  • Pages: 1147-1152
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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Published

01-01-2021

How to Cite

Bijaya Mishra, and Salila Dutta. “Modified Newton Method for Solution of Nonlinear Equations”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 1147-52, https://www.malayajournal.org/index.php/mjm/article/view/1239.