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SECTION B

A second-order linearized three-level backward Euler scheme for a class of nonlinear expitaxial growth model

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Pages 2290-2309 | Received 19 May 2014, Accepted 29 Oct 2014, Published online: 08 Dec 2014
 

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 L2-norm are strictly proved. Numerical examples are also given to validate the theoretical results.

2010 AMS Subject Classifications::

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).

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