ABSTRACT
Example 9.5. Solution of the heat diffusion problem with a derivative boundary condition
As an example, let's work the two-dimensional heat diffusion problem with a derivative boundary condition on a 5 x 13 grid using Eq. (9.57) along the right edge of the plate. The results are presented in Figure 9.13, where the numerical solution is indicated by the dashed lines. The numerical solution is obviously a good approximation of the exact solution. These results are identical to the results illustrated in Figure 9.8 and tabulated in Table 9.2 for the 9 x 13 grid for the full plate solution. This would not be the case, in general. The solution and the error, Error(5.0, y) = [T(5.0, y) - 1'(5.0, y)], along the right edge of the plate are presented in Table 9.7 for every other grid point.
