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The objective of this work is to discuss a more general one-dimensional diffusion equation that accounts for certain aspects such as the variation of a parameter that describes the relaxation time of the mass flux and also the presence of a potential field. The equation will have properties similar to a an hyperbolic equation or parabolic equation according to which values of the relaxation parameter or the potential field we consider. In the hyperbolic case we deal with some discontinuities.doi:10.1063/1.2990947 fatcat:3i52nlkybvb6fax3ivogso2ze4