The finite difference formulation of steady two-dimensional heat conduction in a medium with heat generation and constant thermal conductivity is given by in rectangular coordinates. Modify this relation for the three-dimensional case.

What will be an ideal response?


The finite difference formulation of steady two-dimensional heat conduction in a medium with heat generation and constant thermal conductivity is given by



in rectangular coordinates. This relation can be modified for the three-dimensional case by simply adding another index j to the temperature in the z direction, and another difference term for the z direction as

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