@Article{JPDE-28-315, author = {Xiong , Xiangtuan and Li , Jinmei}, title = {Semi-discretization Difference Approximation for a Cauchy Problem of Heat Equation in Two-dimensional Space}, journal = {Journal of Partial Differential Equations}, year = {2015}, volume = {28}, number = {4}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v28.n4.3}, url = {http://global-sci.org/intro/article_detail/jpde/5119.html} }