A finite-difference solution to an inverse problem for determining a control function in a parabolic partial differential equation

Shingmin Wang; Yanping Lin

doi:10.1088/0266-5611/5/4/013

A finite-difference solution to an inverse problem for determining a control function in a parabolic partial differential equation

Shingmin Wang, Yanping Lin

Research output: Journal article publication › Journal article › Academic research › peer-review

115 Citations (Scopus)

Abstract

A finite-difference solution is demonstrated for an inverse problem of determining a control function p(t) in the parabolic partial differential equation ut=uxx+pu+f(x,t), 0<x<1;0<t<or=T.

Original language	English
Article number	013
Pages (from-to)	631-640
Number of pages	10
Journal	Inverse Problems
Volume	5
Issue number	4
DOIs	https://doi.org/10.1088/0266-5611/5/4/013
Publication status	Published - 1 Dec 1989

ASJC Scopus subject areas

Mathematical Physics
Statistical and Nonlinear Physics
General Physics and Astronomy
Applied Mathematics

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10.1088/0266-5611/5/4/013

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abstract = "A finite-difference solution is demonstrated for an inverse problem of determining a control function p(t) in the parabolic partial differential equation ut=uxx+pu+f(x,t), 0<x<1;0<t<or=T.",

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A finite-difference solution to an inverse problem for determining a control function in a parabolic partial differential equation

Abstract

ASJC Scopus subject areas

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