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PDE Lab (Finite Differences)

1D Heat equation (time-dependent) + 1D Poisson (steady-state) — export profiles and grids into Notebook.

PROBLEM TYPE
L
Nx (points)
α
u(0)
u(L)
T
dt
METHOD
Initial condition u(x,0)
Parameters
Sliders + constants for u(x,0) / f(x)
DEFINITIONS (one per line)
Use k=2 or k=1..6,1. Then reference k inside the expressions. (x is reserved.)
Heat explicit stability: r = α dt / dx² ≤ 0.5. Implicit methods are stable but cost a tridiagonal solve per step.
OUTPUT
—
Ready.
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