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Article Dans Une Revue SIAM Journal on Applied Mathematics Année : 2013

Large-time Behavior of the Solutions to Rosenau Type Approximations to the Heat Equation

Résumé

In this paper 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.
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Dates et versions

hal-00694908 , version 1 (07-05-2012)
hal-00694908 , version 2 (06-03-2013)

Identifiants

Citer

Thomas Rey, Giuseppe Toscani. Large-time Behavior of the Solutions to Rosenau Type Approximations to the Heat Equation. SIAM Journal on Applied Mathematics, 2013, 73 (4), pp.1416-1438. ⟨10.1137/120876290⟩. ⟨hal-00694908v2⟩
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