[hal-00694908, v2] Large-time Behavior of the Solutions to Rosenau Type Approximations to the Heat Equation
نویسندگان
چکیده
In this article we study the large-time behavior of the solution to a general Rosenau type approximation to the heat equation [16], 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.
منابع مشابه
Large-Time Behavior of the Solutions to Rosenau-Type Approximations to the Heat Equation
In this article we study the large-time behavior of the solution to a general Rosenau type approximation to the heat equation [16], by showing that the solution to this approximation approaches the fundamental solution of the heat equation (the heat kernel), but at a slower rate than the usual heat equation. This result is valid in particular for the central differences scheme approximation of ...
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