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All Journal JURNAL ADMINISTRASI PUBLIK Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Journal of the Indonesian Mathematical Society BAREKENG: Jurnal Ilmu Matematika dan Terapan JURNAL PENDIDIKAN TAMBUSAI Jurnal Matematika UNAND Unri Conference Series: Community Engagement Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Journal of Fundamental Mathematics and Applications (JFMA) SULIWA: Jurnal Multidisiplin Teknik, Sains, Pendidikan dan Teknologi
Ayunda Putri
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Humanities Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Electrical & Electronics Engineering Energy Engineering Mathematics Mechanical Engineering Physics Social Sciences Transportation

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A NEW THREE- STEP DERIVATIVE FREE ITERATIVE METHOD AND ITS DYNAMICS Syamsudhuha, Syamsudhuha; Imran, M; Putri, Ayunda; Deswita, Leli; Amelia, Riski
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.
A New Second Derivative Free Iterative Method of Fifth Order of Convergence and Its Applications Putri, Ayunda; M, Imran
Jurnal Matematika UNAND Vol. 12 No. 4 (2023)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.12.4.283-292.2023

Abstract

The primary objective of this article is to derive a new free from second derivative iterative method for solving nonlinear equations. The proposed method is proven to have fifth order of convergence. Comparisons with other iterative methods represent the advantage of the modified method. Observation on applications of the method in problem of chemical equilibrium , binary azeotropic problem, volume from van der Waals equations and eccentric anomaly in Kepler's law exhibits that our method is applicable and preferable.
Co-Authors ', Aziskhan Adhibbusholeh, Adhibbusholeh Andika, Afdal Rio Arwana, Muhammad Reza Atsyari, Salma Al Aulia, Suty Damila, Miesie Sasikirana Dewitry, Fidella Dicky Efendi Elsi Fitria Fadila, Restu FLORENCE DAICY LENGKONG Hidayat, Mario Huda, Syariful Imran M. Irawan, Via Mustika IRSAN TAUFIK ALI Khoiri, Ikhlasul Leli Deswita M. Imran Maulana, Muhammad Aryadi Melina, Putri Musraini M Neng Murialti, Neng Nissa, Kathzri Ghairi Octoverland, Arveri Oki Rasdana Purba, Dea Natalia Rike Marjulisa Riski Amelia, Riski Salsabila, Dea Setiawan, Alfani Sihombing, Deva Ulina Sinambela, Ilmi Suciani Sri Gemawati Syamsudhuha Syamsudhuha Uvaira , Padila VERY LONDA