Abstract
This article is devoted to the study of the second-order backward Euler scheme for a class of nonlinear expitaxial growth model. The difference scheme is three-level and can achieve second-order convergency in time and space. The unique solvability, unconditional stability and convergency in discrete -norm are strictly proved. Numerical examples are also given to validate the theoretical results.
Acknowledgments
Authors thank Dr Zhengru Zhang for helpful discussions. This work is supported by the National Natural Science Foundation of China (Grant No. 11271068, 11326225); Postdoctoral Science Foundation of China (Grant No. 2014M551483); Natural Science Youth Foundation of Jiangsu Province, China (Grant No. BK20130860); and Scientific Research Foundation of Nanjing University of Posts and Telecommunications, China (No. NY213051).