Computational Physics using MATLAB®
Kevin Berwick Page 1 Computational Physics using MATLAB Kevin Berwick Page 2 Table of Contents 6 1. Uranium Decay ........................................ ........................................ ....................................... 7 3. The Pendulum ........................................ ........................................ ........................................ 9 Solution using the Euler method ........................................ ........................................ ...... 9 Solution using the Euler-Cromer method. ........................................ ........................... 10 Simple Harmonic motion example using a variety of numerical approaches ............. 11 Solution for a damped pendulum using the Euler-Cromer method. ............................ 16 Solution for a non-linear, damped, driven pendulum :- the Physical pendulum, using the Euler-Cromer method.
sigma_squared=1e-3, k_0=500. Simulation used delta_x=1e-3, delta_t=5e-8. Time progresses left to right. .....98 Figure 46.Wavepacket reflection from potential cliff at x=0.5. The potential was V=0 for x<0.5 and V=-1e3 for x>0.5.
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