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A Class of Optimal Eighth-Order Steffensen-Type Iterative Methods for Solving Nonlinear Equations and their Basins of Attraction |
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PP: 251-257 |
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doi:10.18576/amis/100125
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Author(s) |
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Anuradha Singh,
J. P. Jaiswal,
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Abstract |
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| This article concerned with the issue of solving a nonlinear equation with the help of iterative method where no derivative
evaluation is required per iteration. Therefore, this work contributes to a new class of optimal eighth-order Steffensen-type methods.
Theoretical proof has been given to reveal the eighth-order convergence. Numerical comparisons have been carried out to show the
effectiveness of contributed scheme. Furthermore, we compare the performance of our proposed method by the basins of attraction
with some existing eighth-order Steffensen-type methods. |
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