Numerical_Methods

Repository created for the project of Numerical Methods (if816)

Features and Description:

• The purpose of the project is to solve differential equations using the following methods:
  • Euler;
  • Inverse Euler;
  • Improved Euler;
  • Runge-Kutta;
  • Adam-Bashforth;
  • Adam-Multon;
  • Backward Differentiation;
• Developed in Python3 language;

Statements:

• https://docs.google.com/document/d/1ZzVixoMKZFoYoxQcopg5EMDWU2e57xccHJjP9FWKw3U/edit

Imports:

• https://matplotlib.org/ download: pip install matplotlib
• https://www.sympy.org/ download: pip install sympy

Steps:

* Write the equations obeying the formatting described in the statements "input.txt";
  - Avoid blank lines at the end of all cases;
  - A sample exists in this same repository;
* Exectute in terminal 'python3 main.py';
* The output will be directed to the file: output.txt;

Bonus:

• Uncomment the [!!!] lines to display the chart using the matplotlib library;
• Try higher orders in Adam-Bashforth, Adam-Multon and Backward Differentiation methods;

enjoy-it ;)

~jvsc