Solve multiple integrals qith Newton-Cotes formulas

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Ana Gabriela Guedes
评论： Torsten 2022-3-20
Hi!! I'm trying to compute a biological model and one of the parts of it consists in a multiple integral function I am not being able to solve. I would highly appreciate if someone could guide me or help me in how to do it. The model equation is
and
Where pm= 0.06; Rmax = 70cm and u is the model function. I am not sure of how to solve it cause the general model includes the p function and the p function includes the u fuinction.
Thank you in advance
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Ana Gabriela Guedes
Ana Gabriela Guedes 2022-3-20
No, I don't. That is why I am not usre of how to do it since I cant set the initial and boundarie conditions as I usually do when solving differential equations...
According to the paper I am following, rho is the distribution of the proliferation rates and is reflected in the average proliferation rate, rho_a(t).
Torsten
Torsten 2022-3-20
If you don't have the complete u-vector available in each time step, you won't be able to solve the above equation.
It seems you have a 2d in space PDE (r and rho as independent variables). Did you plan to use MATLAB's PDE toolbox to solve ?

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