Numerical Modelling in Fortran: day 2
Numerical Modelling in Fortran: day 2
Numerical Modelling in Fortran: day 2
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Exercise 3: Second derivative<br />
• Write a subrout<strong>in</strong>e that calculates the second<br />
derivative of an <strong>in</strong>put 1D array, us<strong>in</strong>g the f<strong>in</strong>ite<br />
difference approximation<br />
• The <strong>in</strong>puts will be the array, number of po<strong>in</strong>ts and grid<br />
spac<strong>in</strong>g.<br />
• The result<strong>in</strong>g 1-D array can be an <strong>in</strong>tent(out) argument.<br />
• Assume the derivative at the end po<strong>in</strong>ts is 0.<br />
• Test this rout<strong>in</strong>e by writ<strong>in</strong>g a ma<strong>in</strong> program that<br />
calls the subrout<strong>in</strong>e with two idealized functions for<br />
which you know the correct answer, e.g., s<strong>in</strong>(x),<br />
x**2.<br />
• Hand <strong>in</strong> your .f90 code and the results of your two<br />
tests
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