Asked by Faezeh Manesh
on 17 Sep 2019

Hello everyone,

Actually, I have a differential equation with the following format: where .

On the other hand, I have some experimental data for dN/dT for different T . I would like to obtain N(T). Is it possible to do so with the above equation and the experimental data?

Answer by Star Strider
on 17 Sep 2019

Since you are not integrating the differential equation, this is a simple nonilinear parameter estimation problem.

Try this:

T = 270:280; % Create ‘T’

dNdT = rand(size(T)); % Create ‘dNdt’

a = 42; % Create ‘a’

deltaE = 3; % Create ‘deltaE’

R = 8.3145;

objfcn = @(b,T) a.*exp(-deltaE./(R*T)) .* (1 - b); % Objective Function

B = fminsearch(@(b) norm(dNdT - objfcn(b,T)), 10); % Estimate Parameter

It might be possible to solve it as a linear problem, however that is not obvious to me just now.

Experiment to get the result you want.

Star Strider
on 17 Sep 2019

My pleasure.

Please provide the complete equation (or system of equations), including . It is likely possible to estimmte its parameters if I have a version of it I can code. (It would have been very helpful to have had all that information at the outset.)

Faezeh Manesh
on 17 Sep 2019

Sure

in concolusion the overal equation would be as follows:

Actually, what I have from my experiments is whith respect to T (which is about 300 data points). In addition I have a, R and delta E which are my constants, and I need delta h (which is a constant) and N(T) for different T that I have. What I am trying to do is to find N(T) and delta h through curve fitting. Could you please help me with this problem?

Faezeh Manesh
on 17 Sep 2019

I forgot to tell you that I have another set of experimental data which are F with respect to T. and I have also the following equation:

So I have N(T) in this equation too. and I am trying to find alpha (A constant) and N(T).

Sign in to comment.

Opportunities for recent engineering grads.

Apply Today
## 0 Comments

Sign in to comment.