Now when i am taking initial guess less than 10 i get less no. When initial guess = 0, No of iterations = 350 I have solved this question in python and i am getting following results:
Plot the temperature contours as the output. Clearly explain your convergence criterion for the iterations and how it is implemented. Initial guess and comment on the number of iterations required for convergence in each case. Solve the problem using the point-by-point Gauss-Seidel iterative method. Choose a uniform grid size of 0.05 m in both directions. The steady-state temperature distribution within this plate is to be determined for the following imposed boundary conditions: (i) y = 0, T = 100 ̊C, (ii) x = 0, T = 0 ̊C, (iii) y = H, T = 0 ̊C, and (iv) x = L, T = 0 ̊C. The plate material has constant thermal conductivity. Consider a two-dimensional rectangular plate of dimension L = 1 m in the x direction and H = 2 m in the y direction.