English

Diffusion equations with spatially dependent coefficients and fractal Cauer-type networks

Analysis of PDEs 2022-12-21 v1 Numerical Analysis Dynamical Systems Numerical Analysis

Abstract

We give a self-contained proof of the connection existing between diffusion equations with spatially dependent coefficients and fractal Cauer-type networks initiated by J. Sabatier in 2020 and discussed in more details in [J. Sabatier and al., Fractional behaviours modelling, Springer, 2022].

Cite

@article{arxiv.2212.10118,
  title  = {Diffusion equations with spatially dependent coefficients and fractal Cauer-type networks},
  author = {Jacky Cresson and Anna Szafranska},
  journal= {arXiv preprint arXiv:2212.10118},
  year   = {2022}
}
R2 v1 2026-06-28T07:44:09.796Z