1.Consider the file osc_FE.py implementing the Forward Euler method for the oscillating system model (8.43)–(8.44). The osc_FE.py code is what we often refer to as a flat program, meaning that it is just one main program with no functions. Your task is to refactor the code in osc_FE.py according to the specifications below. Refactoring, means to alter the inner structure of the code, while, to a user, the program works just as before. To easily reuse the numerical computations in other contexts, place the part that produces the numerical solution (allocation of arrays, initializing the arrays at time zero, and the time loop) in a function osc_FE(X_0, omega, dt, T), which returns u, v, t. Place the particular computational example in osc_FE.py in a function demo(). Construct the file osc_FE_func.py such that the osc_FE function can easily be reused in other programs. In Python, this means that osc_FE_func.py is a module that can be imported in other programs. The requirement of a module is that there should be no main program, except in the test block. You must therefore call demo from a test block (i.e., the block after if __name__ == ’__main__’).
