| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1706429 | Applied Mathematical Modelling | 2008 | 11 Pages |
Abstract
A model for a finite memory effect in the Fisher equation had been presented by Cattaneo [Acad. Sci. 247 (1958) 431]. By this model the type of the governing equation is transformed from a parabolic type to a hyperbolic one. But the Cattaneo’s equation does not reduce to the logistic equation in the homogeneous regime. A new model is presented which conserves the parabolic generic equation as well as the reduction property. Memory effects are visualized in the two models through numerical computations of solutions.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
H.I. Abdel-Gawad,