Semi-discretization Difference Approximation for a Cauchy Problem of Heat Equation in Two-dimensional Space

Xiangtuan Xiong; Jinmei Li

doi:10.4208/jpde.v28.n4.3

Semi-discretization Difference Approximation for a Cauchy Problem of Heat Equation in Two-dimensional Space

Authors

Xiangtuan Xiong Department of Mathematics, Northwest Normal University, Lanzhou 730000, P.R. China.
Jinmei Li Department of Mathematics, Northwest Normal University, Lanzhou 730070, China

DOI:

https://doi.org/10.4208/jpde.v28.n4.3

Keywords:

2D inverse heat conduction problem;Ill-posedness;regularization;error estimate;finite difference

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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Published

2020-05-12

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Issue

Vol. 28 No. 4 (2015)

Section

Articles

How to Cite

Semi-discretization Difference Approximation for a Cauchy Problem of Heat Equation in Two-dimensional Space. (2020). Journal of Partial Differential Equations, 28(4), 315-331. https://doi.org/10.4208/jpde.v28.n4.3