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exp : Bratu's Equation.

This demo illustrates the computation of a solution family to the boundary value problem

\begin{displaymath}\begin{array}{cl} u_1 ' &= u_2 , \\ u_2 ' &= -p_1 e^{u_1} , \\ \end{array}\end{displaymath} (15.1)

with boundary conditions $ u_1(0)=0 , \quad u_1(1)=0.$ This equation is also considered in DoKeKe:91a DoKeKe:91a.

Table 15.1: Commands for running demo exp.
AUTO -COMMAND ACTION
! mkdir exp create an empty work directory
cd exp change directory
demo('exp') copy the demo files to the work directory
run(c='exp.1') 1st run; compute solution family containing fold
sv('exp') save output-files as b.exp, s.exp, d.exp
run(c='exp.2',s='exp') 2nd run; restart at a labeled solution, using increased accuracy. Constants changed : IRS, NTST, A1, DSMAX vspace0.2cm
ap('exp') append output-files to b.exp, s.exp, d.exp




Gabriel Lord 2007-11-19