Numerical Methods

Use the Liebmann's method to solve for the temperature of the heated plate (Figure 1), but with the upper boundary condition is increased to 120C and the left boundary condition is decreased to 60C. Use an overrelaxation factor of 1.2 and iterate to three iterations. Figure 1: A heated plate where boundary temperatures are held at constant levels (a) Determine the values of: T10=T20=T30=T14=T24=T34=T01=T02=T03=T41=T42=T43= (b) Write equation for node (1,1)(i=1,j=1) and solve for T11 T11= Apply relaxation, T11=18 (c) Write equation for node (2,1) (i=2,j=1) and solve for T21