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Applied Mathematics
Article . 2013 . Peer-reviewed
License: CC BY
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Applied Mathematics
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Hyers-Ulam-Rassias Stability for the Heat Equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2013Publisher:Scientific Research Publishing, Inc.Journal:Applied Mathematics, volume 4, pages 1,001-1,008 (issn: 2152-7385, eissn: 2152-7393, Copyright policy )
Authors: Maher Nazmi Qarawani;

doi: 10.4236/am.2013.47137

Hyers-Ulam-Rassias Stability for the Heat Equation

Abstract

In this paper we apply the Fourier transform to prove the Hyers-Ulam-Rassias stability for one dimensional heat equation on an infinite rod. Further, the paper investigates the stability of heat equation in with initial condition, in the sense of Hyers-Ulam-Rassias. We have also used Laplace transform to establish the modified Hyers-Ulam-Rassias stability of initial-boundary value problem for heat equation on a finite rod. Some illustrative examples are given.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
gold