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Fhadilah, Syafirna
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Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

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Metode Iteratif Bebas Turunan Tinggi Untuk Persamaan Non Linear Fhadilah, Syafirna; Subhan, Muhammad
Journal of Mathematics UNP Vol 9, No 3 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i3.16669

Abstract

To find the roots of non-linear equations, numerical methods such as Newton-Raphson and Secant are often used when analytical approaches are difficult to apply. However, these methods are relatively slow due to their low convergence order. Iterative methods with higher convergence orders can speed up the process, but they often involve more complicated derivatives. To overcome this, a high derivative-free iterative method was developed using the predictor and corrector approach. This research aims to develop the method, analyze its convergence order, and develop its algorithm. This research is a theoreticalresearch by reviewing the theories related to the problem at hand. The results show that the new method has a convergence order of six, is faster than the Newton-Raphson and Secant methods in solving non-linear equations, and only involves the first derivative. 
Co-Authors Muhammad Subhan