(Solved): Solve the 2D Laplace equation a) Using finite difference based on 5 point Matrix Point to obtain th ...

Solve the 2D Laplace equation a) Using finite difference based on 5 point Matrix Point to obtain the equipotential surface of the conductor shown below. The dimensions of the outer conductor is \( 5 \times 8 \mathrm{~cm} \) and has a voltage \( -15 \) volt and the inner conductor of \( (\mathrm{W} \times \mathrm{L}=1 \times 4 \mathrm{~cm} \) )and has a voltage of 15 volt. b) Solve the same problem using iterative FD method and comment on accuracy and efficiency of your results with those obtained at \( \mathrm{P} \) using both techniques \( (\mathrm{a} \), and \( \mathrm{b}) \)