A Note on the Axisymmetric Diffusion equation
Classical Analysis and ODEs
2021-10-07 v1
Abstract
We consider the explicit solution to the axisymmetric diffusion equation. We recast the solution in the form of a Mellin inversion formula, and outline a method to compute a formula for as a series using the Cauchy residue theorem. As a consequence, we are able to represent the solution to the axisymmetric diffusion equation as rapidly converging series.
Cite
@article{arxiv.2006.09211,
title = {A Note on the Axisymmetric Diffusion equation},
author = {Alexander E Patkowski},
journal= {arXiv preprint arXiv:2006.09211},
year = {2021}
}