This project was the final submission to the course on Scientific Computing at Weierstrass Institute - TU Berlin
This project uses Finite Volume Method with the VoronoiFVM.jl package, to solve the Porous medium partial differential equation. Aditionally the method is reimplemeted using the Differentialequations.jl package to make performace comparisons.
Evolution of the Barenblat function
The 1D grid and the evolution of the initial conditions on it.
The 2D grid and the evolution of the initial conditions on it.
The 3D projection of the evolution observed on the above heat map
Graphs from comparitive error analysis
Credits for the course and the VoronoiFVM package
Finite volume solver for coupled nonlinear partial differential equations https://github.com/j-fu/VoronoiFVM.jl 10.5281/zenodo.3529808