Shinsuke Hamada
Highly accurate numerical computation of Serrin's equation
by the double exponential transform
Abstract:
We consider Serrin's equation which describes a steady motion of
incompressible viscous fluid caused by an interaction between a
vortex filament and a planar wall. It is an ODE with singularity
at an end point. In this paper we can numerically solve its
solutions with high accuracy and compute the critical parameters
for the uniqueness of the solution.