Perform one complete iteration step of the PRADI method using the given starting values for the…

 
   

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Perform one complete iteration step of the  PRADI method using the given starting values for the interior mesh  points in the specified region and subject to the given boundary conditions.

Problem 14; starting values of 0.8

Problem 14

a. Solve the Poisson’s equation in the specified region subject to the given boundary conditions.

b. Confirm the results by executing the user-defined function DirichletPDE. Suppress the plot.

c. Reduce the mesh size by half and execute DirichletPDE to solve the problem. Compare the numerical results at the original four interior mesh points with those obtained in (a) and (b).

 same region and grid as in Figure 10.19 with a = 1.8 and boundary conditions described by