Different relaxation approximations to partial differential equations, including conservation laws, Hamilton-Jacobi equations, convection-diffusion problems, gas dynamics problems, have been recently proposed. The present paper focuses onto diffusive relaxed schemes for the numer- ical approximation of nonlinear reaction diffusion equations. High order methods are obtained by coupling ENO and WENO schemes for space discretization with IMEX schemes for time integration, where the implicit part can be explicitly solved at a linear cost. To illustrate the high accuracy and good properties of the proposed numericalschemes, also in the degenerate case, we consider various examples in one and two dimensions: the Fisher-Kolmogoroff equation, the porous-Fisher equation and the porous medium equation with strong absorption.
|Titolo della pubblicazione ospite||SIMAI 2006|
|Numero di pagine||10|
|Stato di pubblicazione||Pubblicato - 2007|
|Evento||SIMAI - Ragusa|
Durata: 22 mag 2006 → 26 mag 2006
|Periodo||22/5/06 → 26/5/06|
- relaxation schemes