Behaviour of ENATE discretization scheme for convection diffusion problems in the case of extreme values of Péclet number
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This paper will show the behaviour of ENATE (Enhanced Numerical Approximation of a Transport Equation) in the cases where there is no convection (Pé=0) or without diffusion (Pé=infinity). The coefficient that remains in the equation can have an arbitrary variation, that is, the diffusion coefficient in the first case and the convection coefficient in the second can vary arbitrarily, along with the source. ENATE scheme provides solutions with machine accuracy with very few nodes.