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 summation equation in fitting		  New Topic  Reply to Topic
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kalyani27

India
1 Posts
Posted - 07/26/2018 :  02:58:37 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
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hai,

my equation to be fitting is
U(L,t)=T/T_m =1+2∑_(n=1)^∞▒〖〖(-1)〗^n 〖exp〗^((-t(〖nπ)〗^2)/t_c ) 〗
where u and t are my y and x values.

i tried to follow the procedure given in the posts
https://my.originlab.com/forum/topic.asp?TOPIC_ID=31355
and my coding is
const double n=100;
// Beginning of editable part
double bb = 0;
for(int ii =1; ii<=n; ii++)
{
if(floor(n)==ii)
bb = (1+2*(((-1)^n)*exp((-x/t)*(n*pi)^2)))+bb;
else
bb =(1+2*(((-1)^ii)*exp((-x/t)*(ii*pi)^2)))+bb;
}
y = bb;

dy_t= (((2*(-1)^n*(-(n*pi)^2*x)/t)*exp((-x/t)*(ii*pi)^2)))

by doubt is how to differentiate y wrt t, for large n values.

hope u guys can give some inputs

JacquelineHe

287 Posts
Posted - 07/26/2018 :  03:59:57 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi,

If I do not misunderstand your means,
u is the Dependent Variable of the function, and t is the Independent Variables of the function.

So I am not sure why you use x and y in your function. x and y are the parameters?

Could you plesae show us more detail about the funcion information?

Thanks
Jacqueline
Originlab
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