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Harmonic-Oscillator

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

_p1.c file approximates the solution of x'' = - alphax + Ax^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.

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