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Consider the conceptual model presented in the attached image, of heat conduction in a bar.
There is a heat source at left side and heat is observed at point Ho after a distance L from the source. If we consider only heat transfer through conduction then this problem can be modeled by diffusion/heat conduction equation.
$$ \frac{\partial T}{\partial t} =D \frac{\partial T}{\partial x^2} $$
If I have developed a new semianalytical or numerical solution (and eventually code) of this problem, then how can I validate my code?. For simplicity, suppose the source to be sinusoidal. Is there a standard solution for such an ideal case with sine input source, so that I can compare my code and then apply it to real field conditions?
There is a heat source at left side and heat is observed at point Ho after a distance L from the source. If we consider only heat transfer through conduction then this problem can be modeled by diffusion/heat conduction equation.
$$ \frac{\partial T}{\partial t} =D \frac{\partial T}{\partial x^2} $$
If I have developed a new semianalytical or numerical solution (and eventually code) of this problem, then how can I validate my code?. For simplicity, suppose the source to be sinusoidal. Is there a standard solution for such an ideal case with sine input source, so that I can compare my code and then apply it to real field conditions?
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