A NOTE ON THE AXISYMMETRIC DIFFUSION EQUATION

被引：0

作者：

Patkowski, Alexander E. ^{[1
]}

机构：

[1] 1390 Bumps River Rd, Centerville, MA 02632 USA

来源：

ANZIAM JOURNAL | 2021年 / 63卷 / 03期

关键词：

axisymmetric diffusion equation; Bessel functions; Mellin transforms;

D O I：

10.1017/S1446181121000110

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：333 / 341

页数：9

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