2013Journal of Al-Nahrain University-ScienceOpen access

Modified Third Order Iterative Method for Solving Nonlinear Equations

Huda H. Omran

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Abstract

Many numerical approaches have been suggested to solve nonlinear problems.In this paper, we suggest a new two-step iterative method for solving nonlinear equations.This iterative method has cubic convergence.Several numerical examples to illustrate the efficiency of this method by Comparison with other similar methods is given.

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Many numerical approaches have been suggested to solve nonlinear problems.In this paper, we suggest a new two-step iterative method for solving nonlinear equations.This iterative method has cubic convergence.Several numerical examples to illustrate the efficiency of this method by Comparison with other similar methods is given.

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Available abstract

Many numerical approaches have been suggested to solve nonlinear problems.In this paper, we suggest a new two-step iterative method for solving nonlinear equations.This iterative method has cubic convergence.Several numerical examples to illustrate the efficiency of this method by Comparison with other similar methods is given.

Key concepts: Nonlinear system, Local convergence, Iterative method, Convergence (economics), Applied mathematics, Mathematics, Numerical analysis, Mathematical optimization

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