Welcome to a simple Partial Differential Equation Solver

Folders in Your Computer

To run this code, you have to make sure you have the following folders in the place where you are going to clone this repository to:

• main
• lib
• src
• bin
• soundtrack
• python
• graphics

How to Run

You can open the Makefile to inspect what it has there, but the simple steps to run any file you want are the following:

• Open a terminal
• cd /folder_with_main_lib_src_bin_etc
• make name_of_file.exe
• ./bin/name_of_file.exe

In order to run the specific codes, important for this project. To run the wave-equation solver with finite-difference approximation for the spatial derivatives, you should do the following steps:

• make fd.exe && ./bin/fd.exe && make py && make conv.py For the pseudospectral methods, do the following:
• make cheb.exe && ./bin/cheb.exe && make cheb

Two important things: The file you want to run must be on the folder called main and, assuming the name of the file is for example test.cpp, when calling make, you should type only make test.exe.

Change Inhomogeneous Function

In the src folder, you have the Functions.cpp file where there is the function f and this is the one which works as a source for the wave equation. Work the previous steps to rerun with this source function.

How to Clean

The object files (.o) are eliminated automatically from the moment you have the executables (.exe) running. To erase these, just type

• make clean

This will also clean the lib which is composed of all the files you have in the src folder. Don't worry about this, they are going to be all compiled again when you call "make name_of_file.exe" automatically.

This command also cleans the terminal by calling the bash file Cleaner, so do not worry about the terminal clearing without any apparent reason.

If you want to clean everything, even figures and the video from those figures, do

• make cleanall

Where to See the Results

If you want to see the results of your code, everything should be in the graphics folder. It is there that the program main.cpp will send its results, for example. This way, things will be tidier. When you run the command

• make py it will create graphics of the data given in the output.txt file, this one inside the graphics folder as well.