PDE Problem
From Open Ideas
A pde problem combines a partial differential equation (pde), an initial boundary condition and boundary conditions.
Codebook
Construction
Assume the following initial value/boundary problem is to be instantiated:
$\displaystyle{ u_{t}(x,t) = \frac{1}{2}u_{xx}(x,t) }$
s.t.
$\displaystyle{ u(x,0) = \sin(x) ,~ 0 \leq x \leq 1, }$
$\displaystyle{ u(0,t) = 0 }$
$\displaystyle{ u(1,t) = 0 }$
