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Boundedness is ensured in the steady-state diffusion problem _______________

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Boundedness is ensured in the steady-state diffusion problem _______________

(a) only when the source term is non-negative

(b) only when the source term is negative

(c) only when the source term is non-zero

(d) only when the source term is zero

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My question comes from Diffusion Problem topic in portion Diffusion Problem of Computational Fluid Dynamics

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Correct option is (d) only when the source term is zero

For explanation: When there is a source term, the linear profile of the flow variable may fail. The source or sink term may lead to increased or decreased values than that guesses by the linear interpolation. So, in this case, boundedness is not possible.

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