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On convergence and stability of difference schemes for nonlinear schrödinger type equations

✍ Scribed by M. RadziŪnas


Book ID
118296190
Publisher
Springer
Year
1996
Tongue
English
Weight
759 KB
Volume
36
Category
Article
ISSN
0363-1672

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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