@Article{JPDE-28-4, 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 = {https://global-sci.com/article/88286/semi-discretization-difference-approximation-for-a-cauchy-problem-of-heat-equation-in-two-dimensional-space} }