how can I plot the following function in matlab without symbolic toolbox?

with Ts=300 , Ti=100 , L=1 , x=0:0.01:L, t=0.5 and a=0.1

I have written the following code but it doesn't work. can sb help me?

clc; clear all
Ts=300;
Ti=100;
a=0.1;
l=1;
Sum=0;

   for x=0:0.01:l;
          for m=1:1000000     
          S=((exp(-((m*3.14/l)^2)*0.05))*((1-(-1)^3.14)/(m*3.14))*sin(m*3.14*x));
          Sum=Sum+S;
          end
          T=Ts+2*(Ti-Ts)*Sum;
          plot(x,T)
          hold on;
   end

it should give me a sin like figure but it gives

please help me to find the problem. :((

Answer 1

[the cyclist]

Looks pretty sinusoidal to me. You've only plotted a very small portion, though. Maybe try letting x run from -5 to 5 to see more of the domain?

Also, I think you can let m be something a lot smaller, and you will still see the limiting behavior well.

I notice in your formula you have (-1)^3.14 in one place where the formula has (-1)^m.

Finally, you can use "pi" in place of 3.14. MATLAB understands what that means.

[nargess]

thank you for your attention. yes I edit that part(the ^pi part)it's again out of range . unfortunately I can not change the limits. because the problem has defined them. since two sides of wall are at the same temperature, (and from the results of two numerical method), it's expected that temperature distribution must be symmetric in this interval. with the minimum at the middle.! but it's not!

Answer 2

[Laurent]

In addition to the answer of the cyclist:

You set Sum=0 outside of the loop, which means that it will never be reset to 0 for a new value of x. I suggest to put it after the line 'for x=0:0.01:l'.

[nargess]

Thanks. yes that's right.. I am going to try it now.

[nargess]

YES! it was solved.thank you soooo much. it's really the accepted answer. thank you