While commands could be entered line by line into MATLAB's interactive environment, it is generally easier to write a script (i.e., program) of MATLAB commands which would be located in a file which by convention ends with ".m", e.g., plate.m would be a script, run with the command plate, that calculates and displays this temperature field.
My plate.m file (located in /usra/mcduff/oc540) is:
kappa=25; | set the numerical values of parameters |
z=0:5e3:1e5 | create vector of depths, z, in increments of 5000 m (5 km) to 100 km depth |
t=0:5e6:1e8 | create vector of times, t, in increments of 5 My to 100 My |
for I=1:1:21 | use the index I for depth and loop over the 21 values |
T(I,0)=Tmelt; | to avoid the singularity at t=0, use the boundary condition |
for J=2:1:21 | use the index J for the time and loop over the remaining 21 elements |
T(I,J)=Tmelt*erf(z(I)/2*sqrt(kappa*t(J)))); | calculate the temperature for the Ith depth and the Jth time |
end | close the time loop |
end | close the depth loop |
contour(t,-z,T); | contour the temperature T as a function of t and -z (to have depth increase downward) |
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| Oceanography 540 Pages Pages Maintained by Russ McDuff (mcduff@ocean.washington.edu) Copyright (©) 1994-2001 Russell E. McDuff and G. Ross Heath; Copyright Notice Content Last Modified 1/4/2001 | Page Last Built 1/4/2001 |
