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 ...
GitHub

MuzammilMushtaque/Numerical-Techniques-for-Ordinary-Differential-Equation

This repository provides Python code for various numerical techniques to solve Ordinary Differential Equations (ODEs). The implemented methods include the Euler method, Symplectic Euler method, ...
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 ...
IEEE

Solving linearized equations of the N‐body problem using the Lie‐integration method

Abstract: Several integration schemes exist to solve the equations of motion of the N‐body problem. The Lie‐integration method is based on the idea to solve ordinary differential equations with ...
Scientific Research Publishing

Colletz, L. (1966) The Numerical Treatment of Differential Equations. 3rd Edition, Vol. 60, Springer-Verlag, Berlin, 48-94.

ABSTRACT: Initial value ordinary differential equations arise in formulation of problems in various fields such as physics and Engineering. The present paper shows the method how to solve the initial ...