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arXiv · 2006.09211

A Note on the Axisymmetric Diffusion equation

Alexander E Patkowski
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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 $u(r,t)$ 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.

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Alexander E Patkowski. 2020-06-16. A Note on the Axisymmetric Diffusion equation. https://doi.org/10.1017/s1446181121000110

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