Agus Kartono
Department Of Physics, Faculty Of Mathematical And Natural Sciences, IPB University (Bogor Agricultural University), Jalan Meranti, Building Wing S, 2nd Floor, Kampus IPB Dramaga, Bogor 16680

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Journal : Jurnal Ilmu Fisika

An Analysis of the Schrodinger Equation Model for the Distribution Rate of Stock Returns Agus Kartono; Hilda Meiranita Prastika Dewi; Irmansyah Irmansyah
Jurnal Ilmu Fisika Vol 15 No 2 (2023): September 2023
Publisher : Universitas Andalas

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jif.15.2.166-174.2023

Abstract

Quantum mechanics is a theory that describes the behavior of particles in the microscopic world. If the stock index can be considered an object on a macro scale, then every stock of a stock index is an object on a micro-scale. The stock price can be analogous to being a particle. This study aimed to obtain the density distribution of stock returns. Modeling stock returns distribution using a Schrodinger equation model with the assumption that stock is a particle in the good delta potential function so that stock returns as analogous to particles can be known. The Schrodinger equation can calculate stock returns expressed as an exponential distribution. The stock return density distribution using Schrodinger equation model has a higher kurtosis value than the kurtosis value in the normal distribution. The kurtosis value is the degree of the peak height of a distribution. The stock price data used is the stock price data of PT. United Tractors Tbk. and PT. Unilever Indonesia Tbk. during 2013-2018. This study shows the stock price of PT. Unilever Indonesia Tbk. has a more stable average stock price return with a more negligible risk of loss than the stock price of PT. United Tractors Tbk.
Model Kinetik Amyloid-Beta (Aβ) pada Penyakit Alzheimer Menggunakan Metode Euler dan Runge-Kutta Order ke-4 Cindyawati, Cindyawati; Ahmad, Faozan; Hardhienata, Hendradi; Kartono, Agus
Jurnal Ilmu Fisika Vol 17 No 2 (2025): September 2025
Publisher : Jurusan Fisika FMIPA Universitas Andalas

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jif.17.2.125-134.2025

Abstract

Alzheimer's disease (AD) is a neurological disease that causes decreased brain function. It is known that the accumulation of amyloid-beta (Aβ) plaques in the brain is one of the causes of AD. The accumulation of Aβ plaques in the brain is a dynamic process; it begins with the growth of amyloid-beta monomers (M1). Furthermore, amyloid-beta dimers (M2) and so on, so that this collected into oligomers (O), fibrils (P), and plaques in the brain. This disrupts the communication pathways between nerve cells. In this study, each process of amyloid-beta plaque accumulation is presented with a mathematical model in the form of an ordinary differential equation. Therefore, the coupled ordinary differential equations are given for the entire process of Aβ plaque accumulation. In this study, this coupled model is calculated using numerical methods, such as the Euler and fourth-order Runge-Kutta methods. The Euler methods is simple and efficient, but its accuracy is low and can accumulate errors with larger step sizes. The fourth-order Runge-Kutta methods offers higher accuracy, better numerical stability, and greater control over the accuracy of the solution. These two numerical methods have never been compared for estimating numerical solutions of coupled ordinary differential equations.