MATLAB: Fitting the numerical solution of a PDE with one parameter to some data

curve fittingMATLAB

I need to fit the numerical solution of a PDE with one parameter to some data in MATLAB.

I already solved the PDE (by giving an arbitrary value to the parameter) and I have the data, but I am not sure if I can use nlinfit, since it requires an analytic function as input.

Another issue is how to pass the parameter to be fitted to pdepe to solve the PDE.

Best Answer

https://de.mathworks.com/matlabcentral/answers/43439-monod-kinetics-and-curve-fitting

The procedure can easily be adapted to work with a PDE instead of ODEs.

Best wishes

Torsten.

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MATLAB: Gas-Solid Reaction Modeling with Random Pore Model. Pdepe: Spatial discretization has failed. Discretization supports only parabolic and elliptic equations, with flux term involving spatial derivative.

Your right-end boundary conditions are invalid.

Possibly you want:

pr=[ur(1)-1 0]';
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Exactly as the pdepe documentation explains (and its examples show) you need to provide three function handles as its 2nd, 3rd, and 4th inputs. Instead your code calls those three functions without any input arguments, thus the error message.

You can define three function handle like this:

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%              ^         ^        ^ define function handles

Best Answer

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MATLAB: Gas-Solid Reaction Modeling with Random Pore Model. Pdepe: Spatial discretization has failed. Discretization supports only parabolic and elliptic equations, with flux term involving spatial derivative.

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