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Convergence of a Finite Difference Scheme for the Camassa–Holm Equation

✍ Scribed by Holden, Helge; Raynaud, Xavier


Book ID
118190866
Publisher
Society for Industrial and Applied Mathematics
Year
2006
Tongue
English
Weight
320 KB
Volume
44
Category
Article
ISSN
0036-1429

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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