D = 5.0 Write a program that simulates the diffusion of temperature on a one-dimensional object with m² using the FTCS method. Use 200 spatial points, with the left boundary fixed at zero slope, the right boundary fixed at zero slope, and initial values of 100 for all grid points with j E [50, 100]. Let the object length be L = 1.0 m and choose the maximum time step, h, allowed by the stability condition. Run the simulation for 20, 300, 1000, and 5000 time steps and output a file of u vs. x at the end. Plot each of the four graphs and interpret the results.

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