Boundary Value Problems/Main PDE's to be addressed in course

Return Boundary Value Problems

Heat Equation
$$ \scriptstyle u_t - \alpha^2 \nabla^2 u = F$$

Poisson's Equation
$$\scriptstyle \nabla^2u = F$$

The Wave Equation
$$\scriptstyle u_{tt}-c^2\nabla^2u = F$$

Maxwell's Equations
$$ div(E) = 4 \pi \rho $$

$$ \scriptstyle curl(E) + \frac{1}{c} \frac{\partial B}{\partial t} =0 $$

$$ \scriptstyle curl(B) - \frac{1}{c} \frac{\partial E}{\partial t} =\frac{4\pi}{c} J $$

$$ \scriptstyle div(B) = 0 $$