I've made a lot of simplifications to a Joule-heating problem I'm working on. I'm struggling to solve the following one-dimensional, one variable ODE:(adsbygoogle = window.adsbygoogle || []).push({});

Txx + aT = -b

with boundary conditions

T(x=0) = Ts (Dirichlet)

Tx(x=L) = 0 (Neumann)

I've learned that this is a non-homogeneous ODE with non-homogenous boundaries. I've tried using FDM to solve them and then fitting the data to a function, but I didn't get far.

I would love some help on this. I have much more experience with numerical analysis than analytical. I really need a math-wiz's help.

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# Non-homogenous ODE, non-homogenous boundaries

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