2.3 1D heat equation with prescribed boundary values, cont'd

From last time:

Plotting solution with Python

(From 0 to 60mph in 20 minutes!)

numpy arrays, broadcasting, outer, linspace, arange, sum, base-0 counting, [1:]

functions (def), for loops

pylab, plot, xlabel, ylabel

Starting point:

%pylab inline
x = linspace(0,2*pi,5)
y = sin(x)
plot(x,y)

See Plotting solution of heat equation IBVP.

Approximation by lowest-λ solution

2.4 Some more examples of heat equation by separation of variables

2.5 Laplace's equation in 2D

BVP

Decomposition trick