CAS PROJECT. Double Fourier Series. (a) Wlite a program

Chapter 12, Problem 12.8

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CAS PROJECT. Double Fourier Series. (a) Wlite a program that gives and graphs partial sums of (\5). Apply it to Probs. 4 and 5. Do the graphs show that those partial sums satisfy the boundary condition (3a)? Explain Why. Why is the convergence rapid? (b) Do the tasks in (a) for Prob. 3. Graph a portion, say, 0 < x < ~, 0 < Y < ~, of several partial sums on common axes, so that you can see how they differ. (See Fig. 303.) (c) Do the tasks in (b) for functions of your choice.

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