%A Yafeng Li,Qiao Xin,Chunlai Mu %T The Discrete Possion Equation and the Heat Equation with the Exponential Nonlinear Term %0 Journal Article %D 2019 %J Acta mathematica scientia,Series A %R %P 773-784 %V 39 %N 4 %U {http://121.43.60.238/sxwlxbA/CN/abstract/article_15904.shtml} %8 2019-08-26 %X

This paper mainly study the relations between the solution of the discrete Poisson equation and the solution of the discrete heat equation with exponential nonlinear term by monotone iterative method and comparison principle. When the solutions of the discrete Poisson equation exist, we discuss the asymptotic stability of the solutions to the discrete heat equation with exponential nonlinear term.