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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.
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.