A New Iterative Method for Solving Nonlinear Equations Using Simpson Method


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Authors

  • Najmuddin Ahmad Department of Mathematics, Integral University, Lucknow, Uttar Pradesh, India
  • Vimal Pratap Singh Department of Mathematics, Integral University, Lucknow, Uttar Pradesh, India

Keywords:

Nonlinear equations, iterative methods, Simpson method, Newton's method, convergence

Abstract

In this paper, we introduced the new iterative method for solving nonlinear equations. This method based on the combination of mid-point with Simpson quadrature formulas and using Newton's method. The convergence analysis of our method are discussed. It is established that the new method has convergence order three. Numerical tests shows that the new method is comparable with the well-known existing single step iterative methods and provides better results.

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Published

01-11-2017

How to Cite

Najmuddin Ahmad, & Vimal Pratap Singh. (2017). A New Iterative Method for Solving Nonlinear Equations Using Simpson Method. International Journal of Mathematics And Its Applications, 5(4 - B), 189–193. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1254

Issue

Vol. 5 No. 4 - B (2017)

Section

Research Article

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