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All Journal EIGEN MATHEMATICS JOURNAL MATHunesa: Jurnal Ilmiah Matematika Jurnal Pepadu Jurnal Pengabdian Inovasi Masyarakat Indonesia
Nuzla Af'idatur Robbaniyyah
Program Studi Matematika, Fakultas MIPA, Universitas Mataram
Religion Agriculture, Biological Sciences & Forestry Chemistry Civil Engineering, Building, Construction & Architecture Economics, Econometrics & Finance Education Mathematics Social Sciences Other

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Pengembangan Metode Iterasi Petviashvili dalam Penentuan Solusi Gelombang Stasioner pada Persamaan Bertipe Schrödinger Nonlinear dengan Fungsi Potensial V(x) Nuzla Af'idatur Robbaniyyah; Irwan
Eigen Mathematics Journal Vol. 5 No. 2 Desember 2022
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v5i2.146

Abstract

This research discusses a numerical method for determining the stationary waves as a solution of Nonlinear Schrödinger (NLS) equations. In general, solutions for the partial differential equations can be solved analytically. However, most the solutions of the nonlinear wave equations are difficult to determine analytically. Therefore, a numerical approach is needed to determine the solution of the NLS equation. One of the numerical methods can be used to find the solution of the NLS equation is the Petviashvili iteration method. For case study, the NLS equation has been generated by the theory of Bose-Einstein condensation which contain potential function . To solve this problem, we generalized Petviashvili iteration method to determine the stationary waves solution easily. The most interesting result for this study is by modification of Petviashvili iteration method, we can make it easier to find a stationary solution for the nonlinear Schrodinger equation which containing the Bose-Einstein condensation potential function .
ANALISIS KEMAMPUAN LITERASI BIDANG MATEMATIKA SISWA MADRASAH ALIYAH MANHALUL MA’ARIF DAREK LOMBOK TENGAH BERDASARKAN ANALISIS DATA PISA Muhammad Rijal Alfian; Lailia Awalushaumi; Marwan Marwan; Syamsul Bahri; Bulqis Nebulla Syechah; Nuzla Af’idatur Robbaniyyah
Jurnal Pepadu Vol 4 No 2 (2023): Jurnal Pepadu
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/pepadu.v4i2.2641

Abstract

Kemampuan literasi siswa Indonesia, khususnya bidang matematika masih tergolong rendah. Hal ini tercermin dari peringkat skor PISA (Program for International Student Assesment) dunia yang dirilis oleh OECD (Organization for Economic Cooperation and Development) yang menempatkan siswa Indonesia di posisi ke 71 dari 79 negara. Artikel ini memaparkan sebuah hasil analisis Kemampuan Literasi Bidang Matematika Siswa Madrasah Aliyah Manhalul Ma’arif Darek Lombok Tengah, NTB. Proses analisis diawali dari pemberian soal (pretest) jenis PISA bidang Matematika tanpa perlakuan kepada 35 siswa kelas 10. Selanjutnya dengan metode diskusi dan kerja kelompok untuk meningkatkan Strategi Metakoginisi Membaca persoalan matematika, soal serupa kembali diberikan pada siswa yang sama. Hasil asesmen menunjukkan ada peningkatan signifikan dari 6% siswa menjawab benar pada pretest, menjadi 77% siswa menjawab benar pada postest.
Pengenalan Teori Permainan dan Statistika Dasar ke Siswa SMAN 1 Selong dengan Pendekatan MSJ Ayes Malona Siboro; Bulqis Nebulla Syechah; Dina Eka Putri; Fariz Maulana; I Gede Adhitya Wisnu Wardhana; Irwansyah Irwansyah; Lailia Awalushaumi; Lalu Hasan Ghoffari; Lalu Riski Wirendra Putra; Muhammad Naoval Husni; Nur Asmita Purnamasari; Nuzla Af'idatur Robbaniyyah; Salwa Salwa; Qurratul Aini; Zata Yumni Awanis
Jurnal Pengabdian Inovasi Masyarakat Indonesia Vol. 2 No. 2 (2023): Edisi Agustus
Publisher : Program Studi Pendidikan Kimia FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jpimi.v2i2.2893

Abstract

The community engagement activity carried out by the teaching team from the Mathematics Program of the Faculty of Mathematics and Natural Sciences at Universitas Mataram to SMAN 1 Selong has successfully introduced students to the importance of statistics and game theory in decision-making. Through stories and real-life cases, students are encouraged to consider factors such as averages and standard deviations in making informed decisions. They also learn about the story of John Nash, who discovered game theory, and compare it to the economic principles of Adam Smith. Students realize that collective interests can lead to better outcomes than personal interests. In the case of The Prisoner's Dilemma, students also see the importance of game theory in the context of collective decision-making. Overall, this activity helps students understand the importance of statistics and game theory in the decision-making process.
KONTROL OPTIMAL PADA MODEL EPIDEMIK PENYAKIT DEMAM BERDARAH DENGUE DI PROVINSI NUSA TENGGARA BARAT Nuzla Af'idatur Robbaniyyah; Muhammad Rijal Alfian; Aulia Syifa
MATHunesa: Jurnal Ilmiah Matematika Vol. 14 No. 01 (2026)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v14n1.p485-496

Abstract

Dengue haemorrhagic fever (DHF) is one of the dangerous and high-risk diseases in Indonesia. West Nusa Tenggara Province is one of the regions in Indonesia that is often reported to have a high number of DHF cases. In this research, SIR-SI disease transmission model of DHF is constructed with control in the form of the 3M program and treatment. The purpose of this research is to minimize the number of infected individuals and minimize the cost of control provided. The method used in this research is Pontryagin's minimum principle to determine the optimal control and forward-backward fourth order Runge-Kutta method to obtain the numerical solution. Based on the results and simulations research that has been conducted, it was obtained that the system is unstable at disease-free equilibrium point and asymptotically stable at endemic equilibrium point. Furthermore, with the implementation of control such as the 3M program and treatment effectively minimize the number of infected individuals while keeping the cost of control provided for 90 days.
ANALISIS TRAVELLING WAVE PADA MODEL DETERMINISTIK WABAH MONKEYPOX MENGGUNAKAN METODE CRANK- NICHOLSON Nuzla Af'idatur Robbaniyyah; Muhammad Rijal Alfian; Elyin Fitrawati
MATHunesa: Jurnal Ilmiah Matematika Vol. 14 No. 02 (2026)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v14n02.p10-21

Abstract

Health issues are still a global problem that is one of the focuses in the sustainable goals known as SDGs. Monkeypox or commonly called monkey pox is an infectious disease caused by orthopoxvirus. This disease was first discovered in 1970 and has returned to various countries since 2022 with the emergence of new, more dangerous clusters. Due to concerns about the widespread and uncontrollable spread of Covid-19, in this study, a traveling wave analysis was carried out on a deterministic model of the spread of monkeypox in humans using the Crank- Nicholson method. The diffusion equation is added to the model to form a diffusion reaction equation that will be solved to obtain a traveling wave solution. Based on the research that has been done, the results are obtained in the form of monkeypox traveling wave speed in the exposed and infected compartments around the disease-free and endemic fixed points. Based on the simulation results using the Crank-Nicholson method, it is concluded that the pattern formed describes a local outbreak that is temporary, does not develop into a large pandemic and tends to subside after spreading to a certain area.
Solusi Numerik pada Persamaan Korteweg-De Vries Equation menggunakan Metode Beda Hingga Maulana Rifky Haizar; Miptahul Rizki; Nuzla Af'idatur Robbaniyyah; Bulqis Nebulla Syechah; Salwa Salwa; Lailia Awalushaumi
Eigen Mathematics Journal Vol 7 No 1 (2024): June
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v7i1.190

Abstract

The Korteweg-de Vries (KdV) equation is a nonlinear partial differential equation that has a key role in wave physics and many other disciplines. In this article, we develop numerical solutions of the KdV equation using the finite difference method with the Crank-Nicolson scheme. We explain the basic theory behind the KdV equation and the finite difference method, and outline the implementation of the Crank-Nicolson scheme in this context. We also give an overview of the space and time discretization and initial conditions used in the simulation. The results of these simulations are presented through graphical visualizations, which allow us to understand how the KdV solution evolves over time. Through analysis of the results, we explore the behavior of the solutions and perform comparisons with exact solutions in certain cases. Our conclusion summarizes our findings and discusses the advantages and limitations of the method used. We also provide suggestions for future research in this area.
Co-Authors Aulia Syifa Ayes Malona Siboro Dina Eka Putri Elyin Fitrawati I Gede Adhitya Wisnu Wardhana Irwan Irwansyah Irwansyah Lailia Awalushaumi Lailia Awalushaumi Lalu Hasan Ghoffari Lalu Riski Wirendra Putra Marwan Marwan Maulana Rifky Haizar Maulana, Fariz Miptahul Rizki Muhammad Naoval Husni Muhammad Rijal Alfian Nur Asmita Purnamasari Qurratul Aini Salwa Salwa Syamsul Bahri Zata Yumni Awanis