Modeling and Simulation with ODE for MSE

Recall that to determine the consistency error of a numerical scheme (the systematic error which remains even upon replacing the iterations steps yn by the corresponding data from the exact solution y(tn); and thus the error incurred in one iteration step even upon the assumption that all previous data had been exact), we consider the difference y(tn+2) − yn+2, and then replace all data from previous iterations by their counterpart from the exact solution. Explicitly, this means we have to estimate