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wav : Periodic Waves.

This demo illustrates the computation of various periodic wave solutions to a system of coupled parabolic partial differential equations on the spatial interval $ [0,1]$. The equations, that model an enzyme catalyzed reaction (DoKe:86a DoKe:86a) are :

\begin{displaymath}\begin{array}{cl} {\partial u_1 / \partial t} &= ~{\partial^{...
..._1 \bigl[p_4 R(u_1,u_2) - p_7 (p_3 - u_2) \bigr].\\ \end{array}\end{displaymath} (16.2)

All equation parameters, except $ p_3$, are fixed throughout.


Table 16.3: Commands for running demo wav.
AUTO -COMMAND ACTION
! mkdir wav create an empty work directory
cd wav change directory
demo('wav') copy the demo files to the work directory
run(c='wav.1') 1st run; stationary solutions of the system without diffusion
sv('ode') save output-files as b.ode, s.ode, d.ode
cp c.wav.2 c.wav constants changed : IPS
run(c='wav.2',s='wav') 2nd run; detect bifurcations to wave train solutions. Constants changed : IPS
sv('wav') save output-files as b.wav, s.wav, d.wav
run(c='wav.3',s='wav') 3rd run; wave train solutions of fixed wave speed. Constants changed : IRS, IPS, NUZR, ILP
ap('wav') append output-files to b.wav, s.wav, d.wav
run(c='wav.4',s='wav') 4th run; wave train solutions of fixed wave length. Constants changed : IRS, IPS, NMX, ICP, NUZR
sv('rng') save output-files as b.rng, s.rng, d.rng
run(c='wav.5',s='wav') 5th run; time evolution computation. Constants changed : IPS, NMX, NPR, ICP
sv('tim') save output-files as b.tim, s.tim, d.tim



next up previous contents
Next: brc : Chebyshev Collocation Up: AUTO Demos : Parabolic PDEs. Previous: pd2 : Stationary States   Contents
Gabriel Lord 2007-11-19