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Optimal point-wise error estimate of a compact difference scheme for the Klein–Gordon–Schrödinger equation

✍ Scribed by Wang, Tingchun


Book ID
121492858
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
312 KB
Volume
412
Category
Article
ISSN
0022-247X

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On the convergence of a difference schem
✍ Zhi-zhong Sun; Dan-dan Zhao 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 394 KB

In this article, a finite difference scheme for coupled nonlinear Schrödinger equations is studied. The existence of the difference solution is proved by Brouwer fixed point theorem. With the aid of the fact that the difference solution satisfies two conservation laws, the finite difference solution