In this lab we will be using a program called "xtc" (G.B. Ermentrout, U.Pitt. Math. Dept.) and/or "matlab" to numerically integrate partial differential equation models of various phenomena.
| xtc documentation (postscript file) | Program for solving PDE's with one spatial variable |
We will examine models from the following list:
| Rx-Diff | See Code |
| u_t = u_xx + d sin(u) | See code |
| FHN Wavefront 1: | FHN in periodic mode?, LHS stimulus |
| FHN Wavefront 2: | Two waves, left and right, center stimulus |
| FHN Wavefront 3: | left wave, RHS stimulus |
| Damaged Pancreatic Islet Model: | D(x) and ub(x) in slow dynamics |