would appreciate help with calculations to handwritecoefficient matrix A also matrix should match the “shape” in secondphoto. thank you.
Ton+1 = Tin + Fox (Ti+1.4 +TL-11-27) 1. On a piece of paper (needs to be handed in during lecture), use the equation above to create equations for points 2 to 11 and then create a matrix in the following form: lanti A(1.1) … A(1,12) 11 (12 x1) (12×12) (12×1) (12×1 T12,+1 LA(12.1) … A(12,12)| Tin where Tinto T12,n+1 make up the temperature array for the subsequent time-step, A is the coefficient matrix, Tinto T12, make up the temperature array for the current time-step and fis the boundary condition after applying the Fom. The following conditions are applied: Initial Conditions: At time t0, T2 through Tu are all at 50°C. (Boundary Conditions: Tright = T= 50°C when time t20 Tieft = T12 = 10°C when timet 20 (a) Consider Fomto be 0.4 and use Ton+1 = To + Fom (Tieux + T-u – 27.) to solve for equations 2 through 11 fort 20. 1. Note: You will have a 10×10 matrix at this point that describes the behavior of Tz through Tu Note: Points 2 and 11 will have terms in them that relate to your boundaries at points 1 and 12. The terms that involve Tiand Tu will be ignored in this step, as they are part of your farray. ii. + + + ttt +++ +++ +++ +++ +++ +++ +++ ++ Figure 4. Spy command in MATLAB shows the shape of the coefficient matrix “A” Show transcribed image text Ton+1 = Tin + Fox (Ti+1.4 +TL-11-27) 1. On a piece of paper (needs to be handed in during lecture), use the equation above to create equations for points 2 to 11 and then create a matrix in the following form: lanti A(1.1) … A(1,12) 11 (12 x1) (12×12) (12×1) (12×1 T12,+1 LA(12.1) … A(12,12)| Tin where Tinto T12,n+1 make up the temperature array for the subsequent time-step, A is the coefficient matrix, Tinto T12, make up the temperature array for the current time-step and fis the boundary condition after applying the Fom. The following conditions are applied: Initial Conditions: At time t0, T2 through Tu are all at 50°C. (Boundary Conditions: Tright = T= 50°C when time t20 Tieft = T12 = 10°C when timet 20 (a) Consider Fomto be 0.4 and use Ton+1 = To + Fom (Tieux + T-u – 27.) to solve for equations 2 through 11 fort 20. 1. Note: You will have a 10×10 matrix at this point that describes the behavior of Tz through Tu Note: Points 2 and 11 will have terms in them that relate to your boundaries at points 1 and 12. The terms that involve Tiand Tu will be ignored in this step, as they are part of your farray. ii.
+ + + ttt +++ +++ +++ +++ +++ +++ +++ ++ Figure 4. Spy command in MATLAB shows the shape of the coefficient matrix “A”
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Answer to would appreciate help with calculations to handwrite coefficient matrix A also matrix should match the “shape” in second…