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EnglishDifferent 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.
Cavalli, F., Semplice, M., High Order Relaxed Schemes for Nonlinear Reaction Diffusion Problems, Contributed paper, in SIMAI 2006, (Ragusa, 22-26 May 2006), SIMAI, Ragusa 2007: N/A-N/A [http://hdl.handle.net/10807/85651]
| Autori: | |
| Titolo: | High Order Relaxed Schemes for Nonlinear Reaction Diffusion Problems |
| Data di pubblicazione: | 2007 |
| Abstract: | 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. |
| Lingua: | Inglese |
| Titolo del libro: | SIMAI 2006 |
| Editore: | SIMAI |
| Nome del convegno: | SIMAI |
| Luogo del convegno: | Ragusa |
| Data inizio evento: | 2006-05-22 |
| Data fine evento: | 2006-05-26 |
| Tipo di contributo: | Contributed paper |
| Citazione: | Cavalli, F., Semplice, M., High Order Relaxed Schemes for Nonlinear Reaction Diffusion Problems, Contributed paper, in SIMAI 2006, (Ragusa, 22-26 May 2006), SIMAI, Ragusa 2007: N/A-N/A [http://hdl.handle.net/10807/85651] |
| Appare nelle tipologie: | Paper, Selected paper, Contributed paper, Working paper, Poster, Poster paper, Comunicazione, Relazione (in volume) |
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