Semi-discretization Difference Approximation for a Cauchy Problem of Heat Equation in Two-dimensional Space
Year: 2015
Author: Xiangtuan Xiong, Jinmei Li
Journal of Partial Differential Equations, Vol. 28 (2015), Iss. 4 : pp. 315–331
Abstract
In this paper we consider a semi-descretization difference scheme for solving a Cauchy problem of heat equation in two-dimensional setting. Some error estimates are proved for the semi-descretization difference regularization method which cannot be fitted into the framework of regularization theory presented by Engl, Hanke and Neubauer. Numerical results show that the proposed method works well.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v28.n4.3
Journal of Partial Differential Equations, Vol. 28 (2015), Iss. 4 : pp. 315–331
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: 2D inverse heat conduction problem