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The Convergence and Stability of Splitting Finite-Difference Schemes for Nonlinear Evolutionary Equations

✍ Scribed by M. Radziunas; F. Ivanauskas


Publisher
Springer
Year
2005
Tongue
English
Weight
269 KB
Volume
45
Category
Article
ISSN
0363-1672

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✍ Shanshan Wang; Tingchun Wang; Luming Zhang; Boling Guo πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 255 KB

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