Green's Function
Graduate+
Definition
Response to point source. Expresses solution of linear DE as integral
Formulas
LG(x,ξ) = δ(x-ξ)
Solution: u(x) = ∫G(x,ξ)f(ξ)dξ
Reciprocity: G(x,ξ) = G(ξ,x)
Examples
Example 1
Poisson equation
Example 2
Heat equation
Example 3
Wave equation
Applications
Electromagnetism
Quantum mechanics
Acoustics
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