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

$\scriptstyle \nabla ^{2}u=F$

The Wave Equation

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

Maxwell's Equations

$div(E)=4\pi \rho$

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

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

$\scriptstyle div(B)=0$