Solving for Roots of Nonlinear Equations by Taylor Expansion

Authors

  • Apichat Neamvonk Burapha University

Keywords:

Nonlinear equation, Taylor expansion, Newton-Raphson Method

Abstract

This paper illustrates an iterative numerical method to find roots of nonlinear equation in a form of f(x)=0 by using 2nd and 3rd order Taylor expansion. The numerical results show that this iteration method is faster than Newton–Raphson, hybrid iteration and the new hybrid iteration method. Also this iteration method needs less than number of functional evaluations than the others.

References

Nasr Al-Din Ide, “A new Hybrid iteration method for solving algebraic equationsâ€, Applied Mathematics and Computation, vol. 195, pp. 772-774, 2008.

Amit kumar Maheshwari, “A fourth order iterative method for solving nonlinear equationsâ€, Applied Mathematics and Computation, vol. 211, pp. 383-391, 2009.

Avram Sidi, “Unified treatment of Regular Falai, Newton–Raphson, Secent, and Steffensen methods for nonlinear equationsâ€, Journal of Online Mathematics and Its Applications, pp.1-13, 2006.

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Published

2014-06-15

How to Cite

Neamvonk, A. (2014). Solving for Roots of Nonlinear Equations by Taylor Expansion. Asian Journal of Applied Sciences, 2(3). Retrieved from https://ajouronline.com/index.php/AJAS/article/view/1330

Issue

Vol. 2 No. 3 (2014): June 2014

Section

Articles

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