Take the 2-minute tour ×
Mathematica Stack Exchange is a question and answer site for users of Mathematica. It's 100% free, no registration required.

I am trying to plot a solution to the heat equation

$u(x,t) = \sum_1^\infty \frac{8(-1)^(n+1)}{\pi^2 n^2} \sin(n \pi x) \exp(-n^2 \pi^2) $

I am using the following from another answer here on Mathematica. I am trying to plot it from x=[0,1]. I am trying the following, but it does not seem to produce a plot

f[x_, t_, nm_] := SUM[(8 (-1)^(n + 1)/(Pi^2*n^2))*Sin[n* Pi *x]*Exp[-n^2 Pi^2*t], {n, 1, nm}];

Plot[Table[f[x, t, 150], {t, {0, 0.01, 0.1, 0.5, 1, 10}}] // Release, {x, 0, 1, 0.05}]
share|improve this question

closed as too localized by Jens, Artes, Verbeia Jan 26 '13 at 22:42

This question is unlikely to help any future visitors; it is only relevant to a small geographic area, a specific moment in time, or an extraordinarily narrow situation that is not generally applicable to the worldwide audience of the internet. For help making this question more broadly applicable, visit the help center.If this question can be reworded to fit the rules in the help center, please edit the question.

2  
It produces a plot for me: Wolfram Mathematica 9. I think you mistyped the SUM. The correct is Sum. –  m0nhawk Jan 26 '13 at 20:19
2  
In addition to what @m0nhawk said, you also have a syntax error in Plot. Replace // Release, {x, 0, 1, 0.05} by // Evaluate, {x, 0, 1} –  Jens Jan 26 '13 at 20:23
add comment

1 Answer 1

up vote 5 down vote accepted

You have several syntax (and non-syntax) errors. Check for them:

f[x_, t_, nm_] := Sum[(8 (-1)^(n + 1)/(Pi^2*n^2))*Sin[n*Pi*x]*Exp[-n^2 Pi^2*t], {n, 1,nm}];
Plot[Evaluate@Table[f[x, t, 150], {t, {0, 0.01, 0.1, 0.5, 1, 10}}], {x, 0, 1}, PlotRange -> Full]

Mathematica graphics

You may find this list of tips on syntax useful.

Edit

Perhaps you could use the following:

Plot3D[f[x, t, 30], {t, 0, .3}, {x, 0, 1}, PlotRange -> Full, 
         AxesLabel -> {"Time", "x", "Temp"}, 
         LabelStyle -> Directive[12, Bold]]

Mathematica graphics

share|improve this answer
    
@Verbeia Hey! That's a very good idea! –  belisarius Jan 26 '13 at 22:45
    
Do you guys know how I can plot legends automatically so that it will indicate appropriate time for my solution. –  l3win Jan 31 '13 at 0:07
add comment

Not the answer you're looking for? Browse other questions tagged or ask your own question.