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TSGut / SparseVolterraExamples.jl

A number of examples built on the method described in https://arxiv.org/abs/2005.06081 for solving nonlinear and integro-differential Volterra equations
MIT License
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SIR model example? #1

Open sdwfrost opened 2 years ago

sdwfrost commented 2 years ago

Hi @TSGut

Does this package also work with systems of equations? I'd like to add a nonlinear Volterra integral example (see equations 2 and 3 from here) in our repository of SIR models. Any tips would be greatly appreciated.

TSGut commented 2 years ago

Eq. 3 in the linked document is a single integral equation, what other equation(s) is it coupling to?

sdwfrost commented 2 years ago

S(t) is also coupled; see equations 3 here https://www.biorxiv.org/content/10.1101/777250v2.full.pdf

TSGut commented 2 years ago

Ah, okay so it truly is a system of Volterra equations, cool!

I'll give this some thought and will let you know - I think it's possible, the question is just how much one has to change about the implementation to get it working.