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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.
Simulasi Penghilangan Noise pada Sinyal Suara menggunakan Metode Fast Fourier Transfrom Redza Dwi Septiawan; Putri Rahmasari Rayes; Nuzla Af'idatur Robbaniyyah
Semeton Mathematics Journal Vol 1 No 1 (2024): April
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v1i1.203

Abstract

Sound signals are widely used such as when communicating, recording, or medical testing. However, voice signals are often contaminated by noise or interference which can reduce the quality and clarity of sound caused by weather, being in crowded places and other factors. Therefore, noise reduction in voice signals is important in voice signal processing. This study aims to reduce noise in voice signals using the FFT method. The Fast Fourier Transform (FFT) method is used to identify frequencies and reduce noise in voice signals. The data used is in the form of recordings, namely the sound of speech and the sound of rain as noise. This research was conducted with the help of MATLAB R2022a software. The results of this study indicate that the FFT method is effective in reducing noise in the voice signal and improving the sound quality to be cleaner and clearer than the original sound signal before noise removal is performed.
Simulasi dan Akurasi Numerik Persamaan Gelombang Satu Dimensi Menggunakan Aproksimasi Metode Beda Hingga Nuzla Af'idatur Robbaniyyah; Annisa Sri Muliyanti; Dede Ambiya Malasso; Dwi Hafizatul Pajri
Semeton Mathematics Journal Vol 1 No 1 (2024): April
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v1i1.204

Abstract

The wave equation is a form of partial differential equation that represents physical phenomena on classical physics that are often encountered in everyday life. For example a mechanical waves, such as water waves, sound waves, and seismics waves or light waves. In this research, discussed one-dimensional homogeneous wave equation. Analytical solutions and numerical solutions will be peeled in this research. The numerical solution is approached by using the finite center difference method with an explicit scheme. The solution obtained is simulated with MATLAB software. The results show that the analytical solution has the same pattern as the numerical solution. In other hand, a good level of accuracy was also is obtained using different methods by using a Mean Absolute Percentage Error (MAPE) value of 12%.
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.