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

作　　者：LI Jinmei XIONG Xiangtuan 

机构地区：[1]Department of Mathematics, Northwest Normal University, Lanzhou 730070, China

出　　处：《Journal of Partial Differential Equations》2015年第4期315-331,共17页偏微分方程（英文版）

基　　金：The authors would like to thank the reviewers for their very careful reading and for pointing out several mistakes as well as for their useful comments and suggestions. The research was partially supported by a grant from the Key （Keygrant） Project of Chinese Ministry of Education （No 212179） and Natural Science Foundation of Gansu Province （No 145RJZA037）.

摘　　要：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.

关 键 词：2D inverse heat conduction problem ILL-POSEDNESS REGULARIZATION error estimate finite difference 

分 类 号：O175.26[理学—数学]