Recently, spectral methods in time for the numerical solution of many kinds of differential equations have been considered and analysed. Here, the use of spectral methods in time is extended to cope with Delay Differential Equations (DDEs), where they also proved to be very effective. In particular, we show an application to the mrSI2R2 model used to obtain forecast of the COVID-19 epidemic in Italy.
Spectral solution of delay differential equations with application to a model for the COVID-19 spread in Italy / Brugnano, L.; Iavernaro, F.. - In: AIP CONFERENCE PROCEEDINGS. - ISSN 0094-243X. - ELETTRONICO. - 2425:(2022), pp. 0900021-0900024. (Intervento presentato al convegno INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020) [10.1063/5.0081451].
Spectral solution of delay differential equations with application to a model for the COVID-19 spread in Italy
Brugnano, L.;
2022
Abstract
Recently, spectral methods in time for the numerical solution of many kinds of differential equations have been considered and analysed. Here, the use of spectral methods in time is extended to cope with Delay Differential Equations (DDEs), where they also proved to be very effective. In particular, we show an application to the mrSI2R2 model used to obtain forecast of the COVID-19 epidemic in Italy.
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