Chaotic finite difference operators.
Chaos
; 33(9)2023 Sep 01.
Article
em En
| MEDLINE
| ID: mdl-37695927
ABSTRACT
In this article, we analyze the chaotic behavior of finite difference operators associated with certain differential equations. Our examples range from numerical schemes for a birth-and-death model with proliferation to a class of second-order partial differential equations that includes the hyperbolic heat transfer equation, the telegraph equation, and the wave equation. We provide sufficient conditions on the spatial and time steps of the scheme that guarantee chaos for the corresponding operators, and we compare them with the conditions needed to ensure chaotic analytical solutions.
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MEDLINE
Idioma:
En
Ano de publicação:
2023
Tipo de documento:
Article