Forced Heat Equation Solver (3D)
$$ \frac{\partial u}{\partial t} = \frac{\partial^2 u}{\partial x^2} + f(x), \quad x \in [0, 1] $$
Boundary Conditions (Dirichlet)
Left $u(0,t)$:
Right $u(1,t)$:
Forcing Function $f(x)$
No Forcing (0)
Constant Heat (+100)
Constant Cooling (-100)
Linear Gradient (Cool Left, Hot Right)
Multi-Peak Waves (3 bumps)
Localized Source (Center)
Step Source (Left Half)
Dipole (Heat Left, Cool Right)
Initial Condition $u(x,0)$
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Mode: Standard
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