Numerical solutions of a non-Fickian diffusion equation belonging to a hyperbolic type are presented in one space dimension. The Brownian particle modelled by this diffusion equation is subjected to… Expand

A numerical method is presented to solve a two-dimensional hyperbolic diffusion problem where is assumed that both convection and diffusion are responsible for flow motion.Expand

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… Expand

Numerical solutions of a one-dimensional second order hyperbolic equation are presented. The numerical method consists of applying the Laplace transform to remove the time dependent terms in the… Expand

In this work numerical methods for one-dimensional diffusion problems are discussed. The differential equation considered, takes into account the variation of the relaxation time of the mass flux and… Expand

Second order hyperbolic differential equations have been used to model many problems that appear related to heat conduction, mass diffusion and fluid dynamics. In this work a numerical method is… Expand

Tese de doutoramento em Matematica, na especialidade de Metematica Aplicada, apresentada ao Departamento de Matematica da Faculdade de Ciencias e Tecnologia da Universidade de Coimbra