Differential-Equations

Python and MATLAB code to find the solution of First Order Differential Equations given a certain initial/boundary condition.

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Included files

There are in total 4 files in the repository, each following a different algorithm, namely Euler's Method and the Milne's Predictor-Corrector Method and also Modified Euler's Method or Runge-Kutte2 and finally Runge-Kutte Method or RK4. Each folder contains MATLAB or .m and Python or .py. So you can use either syntax and program/language to numerically determine the roots of an equation/function using the given Methods or algorithms.

To access the files you can either Download the zip file or use the following command from your terminal

git clone https://github.com/adisen99/Differential-Equations.git

then

cd Differential-Equations

Dependencies for Python -

This program uses the following libraries as dependencies-

• Matplotlib
• NumPy
• SciPy

Installing dependencies/packages

• For Windows/Linux/Mac users

You can install these libraries using pip (if you have a virtual environment created and only want to install the libraries for that particular file/directory)

pip install <name of the library>

or Alternatively you can install using pip for your own user system-wide

python -m pip install --user <name of the libraries separated by a space>

or you could use conda (if you are using Anaconda IDE)

conda install <name of the library>

or (If you are using a Linux distribution) then you can simply use you distro's package manager to install the packages (but it will install the packages system wide)

• For Debian/Ubuntu users-

sudo apt install python-<name of the library>

• For Fedora users-

sudo dnf install numpy scipy python-matplotlib

• For Arch users-

sudo pacman -S python-<package name>

or

yay -S python-<package name>

Most python packages are in the ArchLinux repositories and the packages that are not are in AUR (ArchLinux User Repositories) - for these packages you have to download the PKGBUILD file and compile. After that, you have to use PACMAN to finish the installation

makepkg -s sudo pacman -U 'compiled-package'

• For Mac users-

Mac doesn’t have a preinstalled package manager, but there are a couple of popular package managers you can install. For Python 3.5 with Macports , execute this command in a terminal:

sudo port install py35-numpy py35-scipy py35-matplotlib

or Alternatively Homebrew has an incomplete coverage of the SciPy ecosystem, but does install these packages:

brew install numpy scipy matplotlib ipython jupyter

All the instructions related to the code are given in the code as Comments.

Happy Coding