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The stability and convergence of two linearized finite difference schemes for the nonlinear epitaxial growth model

✍ Scribed by Zhonghua Qiao; Zhi-zhong Sun; Zhengru Zhang

Book ID
112164419
Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
548 KB
Volume
28
Category
Article
ISSN
0749-159X

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A nonlinear finite difference scheme is studied for solving the Kuramoto-Tsuzuki equation. Because the maximum estimate of the numerical solution can not be obtained directly, it is difficult to prove the stability and convergence of the scheme. In this paper, we introduce the Brouwer-type fixed poi