## [HW4 Q2.5]

## Summary

- I don't know if my thoughts on
HW4, Q2.5are correct. Below are my thoughts

## Details

I was able to set-up my matrix in **HW4, Q2.4**

Then I tried to write a solver with this information and it just gives me non-sense.

I have a question regarding the BCs. So for me `\alpha=\psi(x=0)=\psi_{0}=40mV`

and for me `\beta=\psi(x=h/2)`

which I can take from **Q2.3** as I was planing to solve f(x) from x=0:h/2. My last question is regarding to the initial condition `\Psi(\psi_{1},\psi_{2}...)`

- this initial condition I have generated by solving `\psi(x)`

with GC at x=points in space where I am interested in solution

`\psi_{init}(x)=\frac{4k_{B}T}{ze}*atanh(\exp(-\kappa x)*tanh(ze\psi_{0}/ek_{B}T))`