论文标题
轴对称扩散方程的注释
A Note on the Axisymmetric Diffusion equation
论文作者
论文摘要
我们考虑对轴对称扩散方程的明确解。我们以Mellin倒置公式的形式重塑了解决方案，并概述了使用Cauchy残基定理计算$ U（R，T）$的公式的方法。结果，我们能够将轴对称扩散方程的解表示为快速收敛的序列。
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.
