Large-Time Behavior of the Solutions to Rosenau-Type Approximations to the Heat Equation
نویسندگان
چکیده
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 ...
متن کامل[hal-00694908, v2] 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 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 knowl...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2013
ISSN: 0036-1399,1095-712X
DOI: 10.1137/120876290