Temperature at specific point

I have this assignment for school and i wonder how to fix this. We can use matrix/equasion systems to solve this problem. We need to calculate the temperature att all of the points in the picture. the temperature in one point is the average value of values from the nearest point in north,south,east and west.

Here is a picture:

[darova]

Looks complicated as for school. Do you have any formulas/equations?

[Ahmed Bajric]

No,we have only the temperatures at four different sides of the cube and we have that the temperature at one point is the average value of the nearest north,soth,west and east points surrounding the point:)

[per isakson]

First the mandatory question: What have you done so far? We don't do shool assignments.

Tip:

• Nine unknowns, u1 through u9
• Nine equations, one for each green dot
• and see Systems of Linear Equations

Answer 1

[darova]

Here is start

equation for u1:

equation for u2:

Need 2 equations more to create 4x4 system of equations

[Ahmed Bajric]

Thank you so much!