Year: 2015
Author: Jingjun Zhao, Songshu Liu, Tao Liu
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 1 : pp. 31–42
Abstract
In this paper, a Cauchy problem of two-dimensional heat conduction equation is investigated. This is a severely ill-posed problem. Based on the solution of Cauchy problem of two-dimensional heat conduction equation, we propose to solve this problem by modifying the kernel, which generates a well-posed problem. Error estimates between the exact solution and the regularized solution are given. We provide a numerical experiment to illustrate the main results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.12-m12113
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 1 : pp. 31–42
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Author Details
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