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The dataset provided tracks the evolution of temperature over the course of a summer day. The goal is to calculate the trend of the temperature
The dataset provided tracks the evolution of temperature over the course of a summer
day. The goal is to calculate the trend of the temperature by using different numerical
schemes: forward and centered differences CD of second and fourth order.
Using the formulas from the numerical schemes discussed in class, fill in the dataset
with the calculated temperatures using the fourthorder centered difference scheme,
which is described by the following expression:
Here,
For detail your calculations for each scheme and interpret the results by
considering the sign of the trend.
Employing the Taylor series expansion for the functions and
derive the formula for the fourthorder centered difference scheme.tableTime t in hourTemp. T in deg CForward unitCD of nd order unitCD of th order unitNone,None,NoneNone,None,NoneNone,None,NoneNone,None,NoneNone,None,NoneNone,None,NoneNone,None,NoneNone,None,None,None,NoneNone,None,NoneNone,None,None
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