…ldn't be the case...

…t sure if it's an issue with markdown syntax or the web address. Will investigate on personal machine, but isn't strictly necessary for derivation.

…sion. Trying out new method to source information.

…rent wave equation. Added a dig deeper segment, to keep scope of project in check.

… simplyfying

…on and then the theory will be done and coding can begin!

… issue, and figured out how to create reference links and comment out the references in the Markdown Block. May list references again at the end, if time permits; if not, they are scattered throughout the text where used. Code pending.

…un together. No longer trying that. also, wrote code for initial signal generation function, and tested to make sure it's running as expected. May remove rhb/lhb params if needed

…HB/LHB params. Don't think I can ignore them...Might have something to do with the initial condition i'm looking at. Worst Case Scenario, use Equation 32 only for the n = 1, and then recode Equation 24 for all others. Also want to experiment with timesteps to figure out exactly what's happening

…mation throughout. Will keep the previous versions of the code in here and add text to explain what's going on and why it isn't working. also, need to debug the wave somewhat, just a smidge...

…meters, define functions, invoke functions, plot. All code cells will follow this progression to help keep scope of variables and functions in check. Also assists in Debugging if everything that the code needs is called in the same cell.

…ext discussing first order and the traps you can fall into if you are not careful. Called out references explicitely in the end of the report. Now I just need to fix the code and run the code once in JupyterHub to test viridis, and this should be done!

…ns and timestep size. Have to do a CFL analysis now. Leaving the current and resistivity as a Dig Deeper Exercise for now.

…r exist. May need to leave that as a Dig Deeper exercise...

…boundary conditions to the solver, which lead to strang boundary conditions past the initial values. Switching to Jupyter Hub to make sure viridis works and better visualize. Should be able to finish up soon from there.

…e a final version that doesn't take so long to run, and uses cells better.

… of project document.

…tive commons stuf correctly as well, following the samples on the course materials.

…bout half of the document (discussion of first order) adds more confusion than clarity. The purpose of that section was to show how using a first order approximation would lead to first order solutions, even with a second order discretization scheme. I think this could be better conveyed through equations, and would clarify where the solution is going to. Also, added a basic outline of the rest of the lesson, which will help when writing, and when readers are reading. Created brand new version of the assignment in order to 'start fresh' and write better, cleaner code, rather than trying to modifexisting structure, and potentially missing errors, etc.

…3,24,29,30,31,32

… in place, we can use sympy to plot them and that will be our exact solutions with which to compare the numerical solutions.

…heoretical calculations in latex and created equation 5 through sympy.

…nitial conditions now. also realized that sympy can only do first order pdes. moved code for sympy solution into last cell in case it's needed. may try using it to solve the ODEs that result from Seperation of Variables, if possible.

…ution for voltage and then plot.

…or both, so we can alway sturn this into a function to plot against our numerical solution.

…ode.

…n code design. Next step is to set up the loop.

…debugging code in there for now, which will be commented out and can be used again to see variables change as the loop runs.

…ympy.

…rk on conclusion and source to CFL condition derivation. Need to clean up code for debugging as well.

…de. Will run once more to make sure everything is good and proofread.

…reading. Figuring out how to avoid runtime errors now, like the overflows and sesssion/line number not unique in database.

… session/line number not unique errors occur is when you run the same cell twice without interuppting the kernel first. I did that with the exact plot and got the error and two plots, even though there was only one command - that leads me to believe that there was a risidual command in the kernal that was still being executed as I ran it again. The 3-d plots may take some time to load, but the actual calculations are done in under a minute. On Jupyter Hub and my machine, the entire notebook rendered in under 10 minutes. In any case, I think I'm done. Merry Xmas to All , and to All a good night!