https://github.com/letiziaia/harmonic-oscillator

Studying 2nd order differential equation with Runge-Kutta and Verlet
https://github.com/letiziaia/harmonic-oscillator

c course-assignment differential-equations harmonic-oscillator runge-kutta rungekutta verlet

Last synced: 9 days ago
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Studying 2nd order differential equation with Runge-Kutta and Verlet

• Host: GitHub
• URL: https://github.com/letiziaia/harmonic-oscillator
• Owner: letiziaia
• Created: 2019-01-31T11:55:15.000Z (almost 6 years ago)
• Default Branch: master
• Last Pushed: 2019-01-31T12:07:37.000Z (almost 6 years ago)
• Last Synced: 2024-10-14T05:02:10.201Z (25 days ago)
• Topics: c, course-assignment, differential-equations, harmonic-oscillator, runge-kutta, rungekutta, verlet
• Language: C
• Size: 4.88 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# Harmonic-Oscillator

Studying 2nd order differential equation with Runge-Kutta and Verlet algorithms

_p1.c file approximates the solution of x'' = - alpha*x + A*x^2 - B*x^3

with parameters alfa=10.0, A=30, B=20, x0=-0.1, v=0.0

printing the answer in a text file which can be read by GnuPlot

_p2.c file studies the same equation in order to see how the trajectory changes

when x0 changes. Using the same algorithms, the critical value of x0 is 

approximated with 1% precision.

This project was part of the course in Computational Physics.