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On Convergence and Stability of the Explicit Difference Method for Solution of Nonlinear Schrödinger Equations

✍ Scribed by Ivanauskas, F.; Radziunas, M.


Book ID
118188781
Publisher
Society for Industrial and Applied Mathematics
Year
1999
Tongue
English
Weight
353 KB
Volume
36
Category
Article
ISSN
0036-1429

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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