niktzom / numerical-analysis-project

Assignment for the Numerical Analysis course @ECE AUTH.

Numerical-Analysis-Project

Assignment for the Numerical Analysis course @ECE AUTH.

Semester Assignment consisting of two tasks:

(a)

Create Python functions implementing the following numerical integration rules(composite forms):

• Left rectangle(left Riemann sum)
• Right rectangle(right Riemann sum)
• Trapezoid rule
• Simpson's rule

Then create a log-log diagram in which for various step-size(h) values we see the absolute error of each method.

(b)

Create a Python function that implements the Euler's method to numerically solve a system of differential equations.

Using the function we solve a system of Lotka-Volterra equations about the population of rabbits and foxes in a forest.

Then we generate 2 diagrams one for the popoulation growth against time and for the one population against the other(phase space).

The final commit was made using Jupyter Notebook.