Solving Ordinary Differential Equation Using Artificial Neural Network

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Mukhammad Solikhin, Ikhsan Abdul Ro’uf

2025 AIP Conference Proceedings Vol. 3446 Issue 1 Conference paper Cited by 0 Quartile

Abstract

A differential equation is one of the mathematical problems. Differential equation has two classifications that is, Ordinary Differential Equation (ODE) and Partial Differential Equation (PDE). The purpose of this paper is to find the solution of Ordinary Differential Equation using Machine Learning. Machine Learning is an approach to anything about man-made intelligence exhibited by machine. Technique to approach Machine Learning we use Deep Learning (DL). The method how to do this, firstly we develop the model Machine Learning in this case we use Artificial Neural Network (ANN). Secondly, we try our model to some problem Ordinary Differential Equation. The last step is to test the model to predict the solution of Ordinary Differential Equation. There is research from Sundaram A. that proposed a method for solving first-order differential equations using artificial neural networks. But, the prediction graph from that research give too much error. So, we will give new model that have less error. The solution of this problem will be the graph of the exact solution and the predict solution. Machine Learning will learn the patterns of the dataset from some problem in Ordinary Differential Equation. In this paper used python to build the Machine Learning model. © 2025 American Institute of Physics Inc.. All rights reserved.

Affiliations

Department of Mathematics, Universitas Negeri Malang, Jl. Semarang no.5, East Java, Malang, Indonesia