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Operator splitting for delay equations

✍ Scribed by Petra Csomós; Gregor Nickel


Book ID
108077207
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
575 KB
Volume
55
Category
Article
ISSN
0898-1221

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✍ Helge Holden; Kenneth Hvistendahl Karlsen; Nils Henrik Risebro 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 303 KB

We apply the method of operator splitting on the generalized Korteweg-de Vries (KdV) equation u t + f (u) x + εu xxx = 0, by solving the nonlinear conservation law u t + f (u) x = 0 and the linear dispersive equation u t + εu xxx = 0 sequentially. We prove that if the approximation obtained by opera