Modeling of one independent variable with different ranges

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Jinglei 2023-5-5

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https://ww2.mathworks.cn/matlabcentral/answers/1958559-modeling-of-one-independent-variable-with-different-ranges

I want model three groups of data which share the same independent variable but different ranges and different amounts of points. I have only got the differential equations for three models and they are related to each other. So I need to consider them together using ODE. I would like to know whether there are any good methods to achieve that goal.

For example,

dY/dx(1)=f(y(1),y(2),y(3));

dZ/dx(2)=g(y(1),y(2),y(3));

dW/dx(3)=p(y(1),y(2),y(3)).

And x(1), x(2), and x(3) are the same parameter with different values and ranges, such as x(1)=(1,2,3,4,5); x(2)=(1,4,7,10,15); x(3)=(0,5,13,20,50,100,200,500,1000)