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A NOTE ON THE AXISYMMETRIC DIFFUSION EQUATION
Part of:
Miscellaneous topics - Partial differential equations
Partial differential equations
Representations of solutions
Published online by Cambridge University Press: 21 July 2021
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.
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- Research Article
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- © Australian Mathematical Society 2021
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