In this article we study the large-time behavior of the solution to a general Rosenau type approximation to the heat equation, by showing that the solution to this approximation approaches the fundamental solution of the heat equation at a sub-optimal rate. The result is valid in particular for the central differences scheme approximation of the heat equation, a property which to our knowledge has never been observed before.The research that led to the present paper was partially supported by a grant of the group GNFM of INdAM.
Large-Time Behavior of the Solutions to Rosenau-Type Approximations to the Heat Equation
TOSCANI, GIUSEPPE;
2013-01-01
Abstract
In this article we study the large-time behavior of the solution to a general Rosenau type approximation to the heat equation, by showing that the solution to this approximation approaches the fundamental solution of the heat equation at a sub-optimal rate. The result is valid in particular for the central differences scheme approximation of the heat equation, a property which to our knowledge has never been observed before.The research that led to the present paper was partially supported by a grant of the group GNFM of INdAM.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
