I have a smooth function which near one point has a very rapid change, a peak with a very very narrow width!
That if I plot the blank region with a function like r= -18.5+20.6 Tanh(u) at r->2
I want to actually, increase the resolution of the first ContourPlot maybe just locally (as r->2) so I can have the whole graph in one plot and show the behavior of my function in one clean plot. So far I tried increasing the PlotPoints, using MaxRecursion and everything that is explained here: Resolution problem of ContourPlot Question, and yet no luck! Any idea please?