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All Journal Journal of the Indonesian Mathematical Society Jurnal Matematika UNAND Journal of Fundamental Mathematics and Applications (JFMA) Jurnal Matematika Integratif Jcommits : The Journal of Community Empowerment, Innovation, and Sustainability
M. Imran
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Humanities Biochemistry, Genetics & Molecular Biology Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Electrical & Electronics Engineering Engineering Mathematics Mechanical Engineering Social Sciences Transportation Other

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Aturan Titik Tengah \textit{Double} untuk Mengaproksimasi Integral Riemann-Stieltjes Rike Marjulisa; Imran M
Jurnal Matematika Integratif Vol 19, No 1: April 2023
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (327.018 KB) | DOI: 10.24198/jmi.v19.n1.45399.29-39

Abstract

Aturan titik tengah double dimodifikasi untuk mengaproksimasi integral RiemannStieltjes. Koefisien dari metode ini didapat dengan menyelesaikannya sistem persamaan nonlinear yang didapat dari penerapan fungsi monomial sampai pangkat tertentu. Selanjutnya dibahas bentuk error dari metode yang diusulkan. Pada bagian akhir diberikan hasil komputasi numerik dari metode yang diusulkan dan dibandingkan dengan metode-metode sebelumnya.
MODIFIED HOUSEHOLDER METHOD OF FIFTH ORDER OF CONVERGENCE AND ITS DYNAMICS ON COMPLEX PLANE Putri, Ayunda; Imran, M; Marjulisa, Rike
Journal of Fundamental Mathematics and Applications (JFMA) Vol 6, No 2 (2023)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v6i2.20554

Abstract

In this paper, a modified Householder method of fifth order is proposed for solving nonlinear equations. The modification is done by adapting a cubic interpolation polynomial to approximate the second derivative in the Householder method. Weprovide a theorem to prove the order of convergence of the proposed method. The simulations reveal that the proposed method needs fewer iterations, even with challenging initial guesses, and excels in sending a large portion of initial points to convergence and exhibits rapid convergence.
Pengembangan Bahan Ajar Matematika Bidang Kalkulus Tingkat SMA Melalui Pengabdian Masyarakat di Kabupaten Kepulauan Meranti Zulkarnain, Zulkarnain; Danil Hendry Gamal, Moh; M, Imran; Hasbiyati, Ihda; Gemawati, Sri; M, Musraini; Mu’tamar, Khozin
JCOMMITS: Journal of Community Empowerment, Inovation, and sustainability Vol. 3 No. 1 (2025): Jcommits (The Journal of Community Empowerment, Innovation, and Sustainability)
Publisher : LPPM UNIVERSITAS LANCANG KUNING

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Abstract

Kalkulus merupakan salah satu materi penting dalam pembelajaran matematika di tingkat sekolah menengah atas, khususnya dalam pendidikan STEM. Namun, banyak guru mengalami kesulitan dalam menyusun soal yang dapat meningkatkan pemahaman konseptual siswa. Penelitian ini bertujuan untuk mengukur pemahaman guru terhadap konsep kalkulus serta kemampuan mereka dalam mengembangkan soal yang dimodifikasi melalui program pengabdian masyarakat. Studi ini melibatkan 23 guru matematika sekolah menengah atas di Kabupaten Kepulauan Meranti. Program ini terdiri dari tiga tahapan utama, yaitu: (1) asesmen awal menggunakan soal kalkulus yang mencakup persamaan, turunan, pertidaksamaan, dan kurva, (2) diskusi serta sesi pembelajaran terpandu, dan (3) latihan pembuatan soal modifikasi berdasarkan pertanyaan yang telah diberikan. Hasil penelitian menunjukkan bahwa beberapa guru memiliki pemahaman yang baik terhadap konsep dasar kalkulus, namun banyak yang mengalami kesulitan dalam memahami materi integral. Selain itu, kemampuan guru dalam menyusun soal modifikasi bervariasi. Temuan ini menegaskan pentingnya pelatihan profesional yang berkelanjutan serta kolaborasi antar lembaga pendidikan untuk meningkatkan keterampilan pedagogik guru dalam pengajaran kalkulus. Inisiatif lanjutan perlu difokuskan pada peningkatan kompetensi guru, terutama dalam memahami dan mengajarkan topik kalkulus yang lebih kompleks seperti aplikasi integral.
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 Ayunda Putri Danil Hendry Gamal, Moh Khozin Mu’tamar -, Khozin Mu’tamar Leli Deswita Musraini M Mu’tamar, Khozin Rike Marjulisa Riski Amelia, Riski Sri Gemawati Supriadi Putra Syamsudhuha Syamsudhuha Zulkarnain Zulkarnain