Kurt Frischmuth: Partial Differential Equations
Kurt Frischmuth
Lecture
Partial Differential Equations - Numerical Methods
for Computational Engineers
Some Examples
(some) wave - exact solution (on some grid)
some (other) wave - numerical solution by Lax-Friedrich Method
(on different grid)
yet another wave - numerical solution by Lax-Wendroff Method
nonlinear wave - Burgers equation, numerical solution by Lax-Friedrich Method
heat conduction - explicit scheme (at the onset of instability)
heat conduction - implicit scheme (stable, despite smaller x-step)
heat conduction - iterative solution (stationary case)