The steady two-dimensional temperature (7) distribution in an isotropic heat conducting materials is given by Laplace...

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The steady two-dimensional temperature (7) distribution in an isotropic heat conducting materials is given by Laplace equation, H=6 The side lengths of the domain are L=8 and H=6. Assuming consistent units are used, boundary conditions are shown in Figure 2. Use the grid indicated in Figure 2 to solve for the temperature distribution. T=100 T-50 T-50 T=100 L=8 h² T=40 T₁ T₁ T=40 o'r o'r ex² Oy² Central finite difference formula f'(x)=f(x+h)-f(x-h) 2h f"(x)=f(x+h)-2f(x) + f(x-h) <=0 T=15 T₂ TA T= 20 Figure 2 Finite difference nodal scheme y The steady two-dimensional temperature (7) distribution in an isotropic heat conducting materials is given by Laplace equation, H=6 The side lengths of the domain are L=8 and H=6. Assuming consistent units are used, boundary conditions are shown in Figure 2. Use the grid indicated in Figure 2 to solve for the temperature distribution. T=100 T-50 T-50 T=100 L=8 h² T=40 T₁ T₁ T=40 o'r o'r ex² Oy² Central finite difference formula f'(x)=f(x+h)-f(x-h) 2h f"(x)=f(x+h)-2f(x) + f(x-h) <=0 T=15 T₂ TA T= 20 Figure 2 Finite difference nodal scheme y