Heat Equation
★★★★☆Undergraduate
📖Definition
Parabolic PDE describing heat diffusion
📐Formulas
∂u/∂t = α∇²u
1D: ∂u/∂t = α ∂²u/∂x²
Fundamental: u = (1/√4παt)exp(-x²/4αt)
✏️Examples
예제 1
Heat conduction in rod
예제 2
Diffusion processes
예제 3
Brownian motion
⚡Applications
Thermodynamics
Finance (Black-Scholes)
Image processing
🔗Related Documents
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