please do not provide solution in image format thank you! In PYTHON write two functions that implement the Fourier spectral first and secondderivatives as discussed in class:j = m (modN)[D]{(-1) esot (4) otherwise.mcot m)h)DN=jmD2jmj = m (modN)3h²2-(-1)³ mesc² (im)h) otherwise.The function headers for each of these should be of the following form:• def CreateDmat (N): ... return Dmat;def CreateD2mat (N): ... return D2mat;In each case, the matrix to be returned is of size N X N.2(DN)² + D²).Using your code, verify that when N = 4, (DN

The code consists of two functions: CreateDmat(N) function which creates an N x N matrix…

In PYTHON write two functions that implement the Fourier spectral first and second derivatives as discussed in class: [DA] [DO jm jm j= m (modN) [(-1) mcot (m) otherwise. 2 32-1 -(-1); mesc² (im)h) otherwise. 2 Using your code, verify that when N = 4, j = m (modN) The function headers for each of these should be of the following form: def CreateDmat (N): ... return Dmat; def CreateD2mat (N): ... return D2mat; In each case, the matrix to be returned is of size N X N. 2 (DN) (DN)² + D²).

In PYTHON write two functions that implement the Fourier spectral first and second derivatives as discussed in class: [DA] [DO jm jm j= m (modN) [(-1) mcot (m) otherwise. 2 32-1 -(-1); mesc² (im)h) otherwise. 2 Using your code, verify that when N = 4, j = m (modN) The function headers for each of these should be of the following form: def CreateDmat (N): ... return Dmat; def CreateD2mat (N): ... return D2mat; In each case, the matrix to be returned is of size N X N. 2 (DN) (DN)² + D²).

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter6: User-defined Functions

Section: Chapter Questions

Problem 17PE

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