Finite difference and finite element methods for partial differential equations on fractals

In this paper, we present numerical procedures to compute solutions of partial differential equations posed on fractals. particular, consider the strong form equation using standard graph Laplacian matrices and also weak forms derived length or área measure a discrete approximation fractal set. We then introduce procedure normalize obtained diffusions, that is, way renormalization constant needed in definitions actual A particular case is studied detail solution Dirichlet problem Sierpinski triangle. Other examples are presented including non-planar Hata tree.