Hyers-Ulam stability of heat-conduction equation

Zhaohui Gu; Jinghao Huang

doi:10.12732/ijpam.v103i1.6

Hyers-Ulam stability of heat-conduction equation

Zhaohui Gu
, Jinghao Huang

School of Mathematics

Guangdong University of Foreign Studies

Research output: Contribution to journal › Article › peer-review

Abstract

We prove the Hyers-Ulam stability of a partial differential equation. That is, if u is an approximate solution of the heat-conduction equation (Formula presented.) + f(x,t) and (Formula presented.) + f(x,y,t), then there exists an exact solution of the differential equation near to u.

Original language	English
Pages (from-to)	71-80
Number of pages	10
Journal	International Journal of Pure and Applied Mathematics
Volume	103
Issue number	1
DOIs	https://doi.org/10.12732/ijpam.v103i1.6
State	Published - 2015

Keywords

Heat-conduction equation
Hyers-Ulam stability
Partial differential equation

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10.12732/ijpam.v103i1.6

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title = "Hyers-Ulam stability of heat-conduction equation",

abstract = "We prove the Hyers-Ulam stability of a partial differential equation. That is, if u is an approximate solution of the heat-conduction equation (Formula presented.) + f(x,t) and (Formula presented.) + f(x,y,t), then there exists an exact solution of the differential equation near to u.",

keywords = "Heat-conduction equation, Hyers-Ulam stability, Partial differential equation",

author = "Zhaohui Gu and Jinghao Huang",

note = "Publisher Copyright: {\textcopyright} 2015 Academic Publications, Ltd.",

year = "2015",

doi = "10.12732/ijpam.v103i1.6",

language = "英语",

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T1 - Hyers-Ulam stability of heat-conduction equation

AU - Gu, Zhaohui

AU - Huang, Jinghao

PY - 2015

Y1 - 2015

N2 - We prove the Hyers-Ulam stability of a partial differential equation. That is, if u is an approximate solution of the heat-conduction equation (Formula presented.) + f(x,t) and (Formula presented.) + f(x,y,t), then there exists an exact solution of the differential equation near to u.

AB - We prove the Hyers-Ulam stability of a partial differential equation. That is, if u is an approximate solution of the heat-conduction equation (Formula presented.) + f(x,t) and (Formula presented.) + f(x,y,t), then there exists an exact solution of the differential equation near to u.

KW - Heat-conduction equation

KW - Hyers-Ulam stability

KW - Partial differential equation

UR - https://www.scopus.com/pages/publications/84937885768

U2 - 10.12732/ijpam.v103i1.6

DO - 10.12732/ijpam.v103i1.6

M3 - 文章

AN - SCOPUS:84937885768

SN - 1311-8080

VL - 103

SP - 71

EP - 80

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

IS - 1

ER -

Hyers-Ulam stability of heat-conduction equation

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Keywords

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