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
收藏
页码：333 / 341
页数：9
相关论文
共 50 条
12345