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A NOTE ON THE AXISYMMETRIC DIFFUSION EQUATION

Published online by Cambridge University Press:  21 July 2021

ALEXANDER E. PATKOWSKI*
Affiliation:
1390 Bumps River Road, Centerville, MA02632, USA; e-mail: [email protected]

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 a rapidly converging series.

Type
Research Article
Copyright
© Australian Mathematical Society 2021

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