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P2. Find the temperature at t1,t2,...,t8 and t9 of the quadratic metal plate sho

ID: 3570383 • Letter: P

Question

P2. Find the temperature at t1,t2,...,t8 and t9 of the quadratic metal plate shown in the figure given that the temperature of each interior point is the average of its four neighboring points.

The variables a and b are parameters of the problem and can take values: a = 0:0.5:2 and b = 0.2:0.3:3.

Write a detailed MATLAB function MaxTemp.m and script p2.m that calculates the values of a and b for which the value of the expression (t1+t3+t9+t7)-4*t5 is maximum.

P2. Find the temperature at t1,t2,...,t8 and t9 of the quadratic metal plate shown in the figure given that the temperature of each interior point is the average of its four neighboring points. The variables a and b are parameters of the problem and can take values: a = 0:0.5:2 and b = 0.2:0.3:3. Write a detailed MATLAB function MaxTemp.m and script p2.m that calculates the values of a and b for which the value of the expression (t1+t3+t9+t7)-4*t5 is maximum.

Explanation / Answer

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