Using lsqcurvefit with a function that contains a for loop

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Jon Bell
Jon Bell 2013-11-27
编辑： Matt J 2013-11-27
I want to fit Fick's Law for diffusion in a sphere using lsqcurvefit to experimental data.
The equation is an infinite series of the form
y = 1- sum((A/n^2 * exp(-B*n^2*t - t0))
I would like to create a function which sums the first 100 n terms using a for loop and then use lsqcurvefit to adjust parameter B to fit the experimental mass versus time data.
I know how to use lsqcurvefit, I just want to know how to fit this equation without adding the first 100 etc terms manually in the function file.
Thanks for your help,
Jon

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回答（1 个）

Matt J
Matt J 2013-11-27
编辑：Matt J 2013-11-27
No idea why you think you need a for loop. The SUM command will work just fine,
n=1:100;
y = 1- sum((A./n.^2 .* exp(-B*n.^2*t - t0));

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