Analytical procedure Analytical solution Associated eigenvalue problem Atmospheric diffusion equation Atmospheric diffusion equations Closed-form analytical solutions Convergence behaviors Copenhagen Copenhagen [(CTY) Hovedstaden] Denmark Diffusion Eddy Diffusivities Eigenvalue problem Eigenvalues and eigenfunctions Finite media Functional forms Hovedstaden Integral equations Integral transform Integral transform technique Mean wind speed Mean-winds Partial differential equations Prairie Grass Turbulent diffusion coefficients Vertical coordinates article atmospheric diffusion controlled study diffusion