How can I create a temperature profile vector (over time) ?

Hello to everyone, I need to create a temperature profile vector over time that represent one thermal cycle. I was able only to create one vector that replicate a linear ramp (where my start temperature is 25°C and my final temperature is 1100°C) followed by a plateua phase where the temperature remain constant at 1100°C. I need to change the ramp with a non equispaced linear vector with, for example, a parabolic trend keeping constant the number of elements in this vector. How can i do that ? I attach the matlab script where the vector that has to be replaced is "profilo1". Thanks in advance

   T=25 + 273; 
   Tmax= 1200+273;
   h=0.001;
   temporaggiungimento=5;
   tmax=10;
   passo=(Tmax / temporaggiungimento)*h;
   diff=(tmax/h)-(temporaggiungimento/h);

   tempo11=h:h:temporaggiungimento;
   profilo1=linspace(25+273,1100+273,temporaggiungimento/h); % Ramp phase from 25°C to 1100°C
   profilo2=linspace(Tmax,Tmax,diff); %%Plateau part at T=1100°C 
   tempo=h:h:tmax;
   profilo=horzcat(profilo1,profilo2);

Answer 1

[Jan]

A parabola shape:

   h = 0.001;
   temporaggiungimento = 5;

   nStep    = temporaggiungimento / h;
   initialT = 25 + 273;
   finalT   = 1100 + 273;
   diffT    = finalT - initialT;
   profilo1 = initialT + linspace(0, 1, nStep) .^ 2 * diffT;  % change her for different shapes
   profilo2 = repmat(finalT, 1, diff);
   profilo  = [profilo1, profilo2];

[Giuseppe Napoli]

Thanks, your script are perfect. Thanks also for the commented part of the script.