Keywords:-

Keywords: Nonlinear equation, Order of convergence, Taylor series expansion, Asymptotic convergence.

Article Content:-

Abstract

In this paper, we suggest and analyze some two steps iterative methods for solving nonlinear equations by a series expansion of the nonlinear function. We have shown that these methods are cubic convergence methods. Several examples are given to illustrate the efficiency of these methods and their comparison with other methods. These new methods can be viewed as significant modification and improvement of the Newton method and it’s variant.

References:-

References

Soheili A. R., Ahmadian S. A. & Naghipoor J. (2008). A Family of Predictor-Corrector Methods

Based on Weight Combination of Quadratures for solving Nonlinear Equationss, Internationa

Journal of Nonlinear Science, 6(1):29-33.Noor M. A., Noor K. I., & Aftab K. (2012). Some New Iterative Methods for Solving Nonlinear

Equations, World Applied Science Journal 20(6):870-874

Bahgat M. S. M. (2012). New Two-Step Iterative Methods for Solving Nonlinear Equations, Journal

of Mathematical Research, 4(3):128-131.

Mir N. A., Yasmin N., and Rafiq N. (2008). Quadrature based two-step iterative methods for nonlinear

equations, General Mathematics Vol. 1, 33-45.

Ostrowski A. M. (1960). Solution of equations and systems of equations, Academic Press, Newyork.

Traub J. F. (1964). Iterative Methods for the Solution of Equations, Prentice Hall, New York.

Downloads

Citation Tools

How to Cite
Oghovese, O., & John, E. (2014). Two Steps Iterative Methods for Solving Nonlinear Equations. International Journal Of Mathematics And Computer Research, 2(08), 600-605. Retrieved from https://ijmcr.in/index.php/ijmcr/article/view/166