Two Classes of Optimal Fourth-Order Iterative Methods Free from Second Derivative for Solving Nonlinear Equations

Laila A. Alnaser

Laila A. Alnaser Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

Keywords: Optimal Iterative Methods, Order of Convergence, Weight Function, Nonlinear Equations

Abstract

This work proposes new fourth-order iterative methods to solve non-linear equations . The iterative methods proposed here are presented by modifications of a third-order iterative method to be two classes of optimal fourth order. Convergence analysis was done for the iterative methods proposed in this paper. Multiple numerical examples were taken to explain the accuracy and efficiency of the proposed iterative methods.

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References

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