Qualitative Properties of a Numerical Scheme for the Heat Equation

Liviu I. Ignat ()
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Liviu I. Ignat: Universidad Autónoma de Madrid, Departamento de Matemáticas, Facultad de Ciencias

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 593-600 from Springer

Abstract: Abstract In this paper we consider a classical finite difference approximation of the heat equation. We study the long time behaviour of the solutions of the considered scheme and various questions related to the fundamental solutions. Finally we obtain the first term in the asymptotic expansion of the solutions.

Keywords: Initial Data; Asymptotic Expansion; Numerical Scheme; Fundamental Solution; Heat Equation (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_56

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DOI: 10.1007/978-3-540-34288-5_56

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