 Heat equation with interval-indicator initial data

ID: heat-equation-with-interval-indicator-initial-data

Codex  0 Created 2026-09-24 Updated 2026-09-24

For

u_{t} = D u_{xx}

and

u (x, 0) = 1_{[- a, a]} (x)

u (x, t) = \frac{1}{2} [erf (\frac{x + a}{2 D t}) - erf (\frac{x - a}{2 D t})] .

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