While the equation depicting the heat flow within homogeneous has been applied in several fields with some success. it has also faced several difficulties to depict heat diffusion in some non-homogeneous media. For particular behaviours adequate differential operators have been applied. for instance. https://oxfordshopes.shop/product-category/shorts-urban/
A piecewise heat equation with constant and variable order coefficients: A new approach to capture crossover behaviors in heat diffusion
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