Fall 2010 Rajat Mittal Homework 3 EN 530.766 1)Derive expressions for the modified wave number corresponding to 1stderivative for the following schemes a.2nd-order central difference b.4th- order central difference c.4th–order Pade scheme 2)Derive the modified wavenumber for a second-order backward difference scheme. Note that the modified wavenumber in this case will be complex; i.e. ''rikkik'=+. a.Compare (and plot) the real part along with the real modified wavenumbers in the previous problem. b.Plot the imaginary part of the wavenumber on a separate plot. c.What is the possible effect of this complex part of the wavenumber on a
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