Lectures:

In this page we'll post useful information about the lectures: source codes, data, references, etc...

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Matlab:

• A practical introduction to Matlab (HTML, PDF)
• Matlab Help
• Matlab GUI for differential equations: Phase Plane and Slope Field.

Maple:

• Maple Workshop notes

Lectures:

Heat equation in 1D: heat.m.

PDE integrator in 1D: PDE_integrator.m, wave_plotsurf.m.

Normal modes of wave equation: vibrate.m


Solutions to the linear wave equation: wave_eq.m.



D'Alambert solutions to the linear wave equation: ugauss_utzero.m.


Sample plot and movie of eigenfunctions: sample_movie.m.


Double Fourier series for a hump: FS_hump.mw.

Bessel modes: bessel_modes.m, besselzero.m.


Vibrational modes of a circular membrane: membrane.mws
   

Linear Waves:

Solutions to the linear wave equation: wave_eq.m.


Solutions to the linear wave equation with dissipation: dissipation.m.


Solutions to the linear wave equation with dispersion: dispersion.m.

Code to integrate the nonlinear, dispersive, diffusive wave equation:
wave_integrator.m, wave_integrator_rk.m, wave_plotsurf.m.


D'Alambert solutions to the linear wave equation: ugauss_utzero.m.

Kortweg-de Vries equation (KdV):
KdV solitons: KdV.m, wave_integrator_rk.m, wave_plotsurf.m.

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