GitHub

Solving Ordinary Differential Equations Numerical Method Implementation in Python

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...
IEEE

Solving nonlinear ordinary differential equations using neural networks

Abstract: This paper present a novel framework for the numerical solution of nonlinear differential equations using neural networks. The benefit of this method is the trial solution can be used to ...
The Earth Institute Columbia University

Ordinary Differential Equations

This course is an introduction to the methods of solving ordinary differential equations with an emphasis on applications. We will study the methods of solving first order and second order linear ...
Scientific Research Publishing

Rawashdeh, M.S. and Maitama, S. (2015) Solving Nonlinear Ordinary Differential Equations Using the ND. Journal of Applied Analysis and Computation, 5, 77-88.

ABSTRACT: In this paper, a new iterative formula for solving ordinary and partial nonlinear differential equations is derived based on the combination between Bernstein’s polynomial and the Adomian ...
Scientific Research Publishing

"Half-Step Continuous Block Method for the Solutions of Modeled Problems of Ordinary Differential Equations"

[2] An Efficient Two-Step Symmetric Hybrid Block Method for Solving Second Order Initial Value Problems of Ordinary Differential Equations ...
IEEE

Solving Ordinary Differential Equations Using Custom Loss Convolutional Neural Network Method

Abstract: Deep learning and machine learning are pivotal in diverse fields, particularly in mathematical problem-solving. This study introduces a novel approach for solving ordinary differential ...