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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/713623
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