Question 2: (8 marks) a2 Suppose that it is required to solve Laplace equation Əx2 ay2 =0), over a domain 2: a = b = 1,

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Question 2: (8 marks) a2 Suppose that it is required to solve Laplace equation Əx2 ay2 =0), over a domain 2: a = b = 1, and with boundary conditions (as shown in the below figure): u (0, y) = 75°C u (x, 0) = 0 °C u (x, b) = 100°C u(a, y) = 50°C • Ax = Ay=0.25 Use the following finite difference equation: U1+11+ Ui-1) + U1J+1 + Uig-1 - 4u1 = 0 (Differential equation corresponding to Laplace equation, Special form Ax = Ay) u(x, y = b) = 100°C 13 23 33 u(x=0,y) = 75°C 22 32 u(x=a,y) = 50°C 21 31 u(x, y = 0) = 0 °C Find the steady state temperature inside a square plate using the Finite difference method.