Table 1 Parameter values for Example 1. Simulations have been carried out with \(N=101\) equally distributed nodes on the circle, \(N_{t}=50\) time steps, and a time step size \(\Delta t=0.2\) for the inverse problem

\(r_{0}\)

(cos(π),sin(π))

σ

1.0

\(r_{1}\)

(cos(π/3),sin(π/3))

τ

1.0

\(r_{2}\)

(cos(−π/3),sin(−π/3))

c

3.0