Linked Questions

9 votes
1 answer
669 views

Can I use a differential equation as a model to make a fit to experimental data?

I've done an experiment where I swung a pendulum under air resistance. Is it possible to model the data using the following differential equation and find a b-value? ...
fidafa123's user avatar
  • 145
9 votes
1 answer
2k views

ODE fitting to dataset

So, I have a ODE system, it is a complex biochemical kinetic mechanism with six species changing over time. ...
BlueOysterCult's user avatar
6 votes
3 answers
1k views

How to fit parameters in a system of coupled differential equations

Problem description: I'm studying a chemical reaction that can be modeled by a system of coupled differential equations, and I want to use measured data to determine the parameters that appear in the ...
P. B.'s user avatar
  • 243
6 votes
1 answer
832 views

Chemical Kinetics: fitting multiple sets of time series data using multiple differential reaction equations

Let me start by saying that this is my first post, so if there are suggestions on proper formatting that is annoying you, please let fly and I will do my best to modify. I was doing well solving the ...
Rob the Chemist's user avatar
5 votes
1 answer
150 views

Getting errors in NonlinearModelFit

I need to fit a system of ODEs to data. The solutions which could work for me are given in the following posts How to fit 3 data sets to a model of 4 differential equations? ODE fitting to dataset ...
Ganna Rozhnova's user avatar
5 votes
2 answers
1k views

Non Linear Model Fit - Fitting ODE to Data

Thank you everyone for your meaningful contributions! My Goal and Problem I'm trying to fit a particular ODE in a set of ODE's to experimental data. I've attempted to implement this by following the ...
user3741793's user avatar
5 votes
2 answers
1k views

FindFit “is not a real number” error when fitting a parametric function to the data

I am using Mathematica's FindFit function to fit a parametric solution to my data and I am getting the error ...
Sam's user avatar
  • 53
4 votes
2 answers
486 views

Multi-Fitting with Nonlinear model

I want to fit experimental data by the H-N model. Here is the H-N model: $$\text{EHN}(T)\text{=}\text{E$\infty $}+\frac{\text{E0}-\text{E$\infty $}}{\left(1+\left(i \omega\tau(T_g)10^{-\frac{\text{C1} ...
Yuuhsing Tuan's user avatar
4 votes
2 answers
426 views

Modeling experimental data with differential equations

I have the following two sets of experimental data, which show the dependencies of two quantities, namely, $S$ and $B$, on time ($0$ h, $3$ h, $6$ h, $9$ h, $15$ h, $18$ h, $21$ h, and $24$ h): ...
user avatar
4 votes
1 answer
317 views

How do I get the MeanPredictionBands from the fitting of the numerical solution of coupled differential equations to data?

This is my first post, and I will preface my question by stating that I am relatively new to Mathematica. In any case, I would like to fit the solution of chemical kinetics equations to data and get ...
Rischaard's user avatar
4 votes
2 answers
1k views

FindFit for a differential equation model with multiple variables?

I'm trying to figure out how to use FindFit with a multivariable differential equation model and data. I've successfully made it work for the one-variable version ...
dantimatter's user avatar
4 votes
0 answers
325 views

Using FindFit to fit nonlinear ODE parameters, subject to a constraint (an inverse problem) [duplicate]

Similar to this post I am finding that constraints tend to make FindFit poor at finding a good fit. However, unlike the previous post, the constraints are required ...
Stretch's user avatar
  • 141
3 votes
2 answers
569 views

How do I find the best fit?

I am trying to solve following system of three differential equations ...
Lolek's user avatar
  • 31
3 votes
0 answers
242 views

How to fit two datasets with common fit parameters?

I have two data sets which go: ...
D.Anishchenko's user avatar
2 votes
0 answers
859 views

How I can use FindFit to simultaneously fit two data sets to two equations having shared parameters? [duplicate]

I think that FindFit package with the method Nminimize yields global minimum if initial values of adjustable parameters are ...
Mousa Jafar's user avatar

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