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Demonstrating nose (ideas)

Aim: test function solver for u'=-au , u(0)=I .

We design three unit tests:

  1. A comparison between the computed u^n values and the exact discrete solution
  2. A comparison between the computed u^n values and precomputed verified reference values
  3. A comparison between observed and expected convergence rates
These tests follow very closely the previous verify* functions.

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