Determining surface heat flux for noncharacteristic Cauchy problem for Laplace equation

Jing-jun Zhao, Song-shu Liu and Tao Liu

Mathematics and Computers in Simulation (MATCOM), 2016, vol. 129, issue C, 69-80

Abstract: In this paper, the noncharacteristic Cauchy problem for the Laplace equation {wxx+wyy=0x∈(0,1),y∈R,w(0,y)=g(y)y∈R,wx(0,y)=h(y)y∈R, is investigated, where the Cauchy data is given at x=0 and the heat flux is sought in the interval 0Keywords: Ill-posed problem; Cauchy problem; Laplace equation; Modified regularization method; Error estimate (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:129:y:2016:i:c:p:69-80

DOI: 10.1016/j.matcom.2016.04.009

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