I have a general question about the solution to the Diffusion equation using the explicit finite difference method. Now, it is known the solution is stable when D*dt/dx^2 is less than 0.5, based on the choice of time and space steps. However, how does the choice of the time and space steps affect the actual numerical solution values, say if we were to compare with some experimental data? That is, a D*dt/dx^2 of 0.48 and 0.3 are both indeed stable, but they will both have different numerical values, correct? So how does one choose the correct time and space steps to get the closest solution?(adsbygoogle = window.adsbygoogle || []).push({});

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# Stability and Accuracy of Diffusion Equation Solution

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