Implementation of "Artificial Neural Networks for Solving Ordinary and Partial Differential Equations"

This repository contains the implementation of the paper “Artificial Neural Networks for Solving Ordinary and Partial Differential Equations” by Isaac Elias Lagaris, Aristidis Likas, and Dimitrios I. Fotiadis.

File Structure

• yDE_z.txt: Contains the description of the problem.
• yDE_z.pynb: Jupyter Notebook with the implementation of the corresponding problem.

Naming Convention

• y:
  • O for Ordinary Differential Equations (ODEs).
  • P for Partial Differential Equations (PDEs).
• z:
  • 1 to 7, 3i, or 3b, representing the specific problem as defined in the paper.

For example:

• ODE_3b.txt and ODE_3b.pynb refer to the description and implementation of the "3b" ODE problem.
• PDE_6.txt and PDE_6.pynb refer to the description and implementation of the sixth PDE problem.