The diffusion equation is a type of partial differential equation that describes how the distribution of a quantity (like heat, particles, or chemical concentration) changes over time due to diffusion. It is a fundamental concept in various scientific fields, illustrating how substances spread from areas of high concentration to areas of low concentration, often represented mathematically by the formula $$rac{ ext{ extpartial}u}{ ext{ extpartial}t} = D abla^2 u$$, where $D$ is the diffusion coefficient and $u$ represents the quantity being diffused.
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