For the equation uxx + uyy = 0, write the necessary equations which can be used to solve the equation depending on the five point formula discussed in finite difference method, for the following mesh with uniform spacing and with boundary conditions as shown below in the figure

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.