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On Tsertsvadze's difference scheme for the Kuramoto-Tsuzuki equation

โœ Scribed by Zhi-Zhong Sun; Qi-Ding Zhu

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
573 KB
Volume
98
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

In this paper, we have proved the second-order convergence in Loo norm of the Tsertsvadze's difference scheme for the Kuramoto-Tsuzuki equation. The existence, uniqueness and iterative algorithm are also discussed in detail. Furthermore, a Loo second order convergent linearized difference scheme is given for inhomogeneous equation. All results are obtained without any restrictions on the meshsizes. At last a numerical example is presented. (~) 1998 Elsevier Science B.V. All rights reserved.

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