I have 2000 approximate solutions (2000 arrays of points (x,y)). In the following figure, I have randomly shown three approximate solutions versus the exact solution. By increasing the case number, the approximate solution is converging to the exact.
In this case, I want to compute Case 1, Case 2 and Case 3 error respect to the exact and show it with a single value for each case. As expected, the error should be reduced by increasing the number of cases.
What is the best way to calculate this error?
Is there a way to compare these solutions?