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All Journal Journal of the Indonesian Mathematical Society
Riski Amelia
University of Riau
Mathematics

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A NEW THREE- STEP DERIVATIVE FREE ITERATIVE METHOD AND ITS DYNAMICS Syamsudhuha Syamsudhuha; M Imran; Ayunda Putri; Leli Deswita; Riski Amelia
Journal of the Indonesian Mathematical Society Vol. 30 No. 3 (2024): NOVEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.30.3.1533.361-373

Abstract

A new free derivative iterative method is presented in this article. The method is developed by combining Newton’s method and Euler’s method. Deriva- tives in this method are approximated by forward difference, hyperbola and divided difference. The order of convergence is proven analytically to be of sixth order. Numerical results exhibit that the new method is comparable to other methods. Basins of attraction are also provided to support the proposed method.
Co-Authors Ayunda Putri Leli Deswita M. Imran Syamsudhuha Syamsudhuha