PDE & Variational Methods - Demos

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Poisson Equation

Strong Form: -Δu = f in Ω, u = 0 on ∂Ω
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Numerical Result

Poisson Equation Numerical
        Result

Heat Equation

Strong Form: ∂u/∂t - αΔu = 0 in Ω×(0,T], u = 0 on ∂Ω
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Numerical Result

Heat Equation Numerical
        Result

Wave Equation

Strong Form: ∂²u/∂t² − c²Δu = f in Ω×(0,T]
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Numerical Result

Wave Equation Numerical Result