Paper Info
Title
Large-Time Behavior of the Solutions to Rosenau-Type Approximations to the Heat Equation.
Abstract
In this article we study the large-time behavior of the solution to a general Rosenau type approximation to the heat equation [P. Rosenau, Phys. Rev. A (3), 46 (1992), pp. 12-15], 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 difference scheme approximation of the heat equation, a property which to our knowledge has never been observed before.
Year
DOI
Venue
2013
10.1137/120876290
SIAM JOURNAL ON APPLIED MATHEMATICS
Keywords
Field
DocType
large-time behavior,heat equation,Fourier metrics,central difference scheme,Rosenau approximation,nonlocal model
Mathematical optimization,Mathematical analysis,Finite difference,Heat kernel,Fundamental solution,Heat equation,Mathematics
Journal
Volume
Issue
ISSN
73
4
0036-1399
Citations 
PageRank 
References 
0
0.34
4
Authors
2
Name
Order
Citations
PageRank
Thomas Rey1123.51
Giuseppe Toscani213824.06