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Nonlinear stability and convergence of finite-difference methods for the “good” Boussinesq equation

✍ Scribed by T. Ortega; J. M. Sanz-Serna


Publisher
Springer-Verlag
Year
1990
Tongue
English
Weight
704 KB
Volume
58
Category
Article
ISSN
0029-599X

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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