Solving for Roots of Nonlinear Equations by Taylor Expansion
Keywords:
Nonlinear equation, Taylor expansion, Newton-Raphson MethodAbstract
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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15-06-2014
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Copyright © The Author(s). This article is published under the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Solving for Roots of Nonlinear Equations by Taylor Expansion. (2014). Asian Journal of Applied Sciences, 2(3). https://ajouronline.com/index.php/AJAS/article/view/1330
