On the numerical solution of Korteweg–de Vries equation by the iterative splitting method
| Autor: | Nurcan Gücüyenen, Gamze Tanoğlu |
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| Přispěvatelé: | TR103234, Gücüyenen, Nurcan, Tanoğlu, Gamze, Izmir Institute of Technology. Mathematics |
| Rok vydání: | 2011 |
| Předmět: |
KdV equation
Iterative methods Iterative method Applied Mathematics Mathematical analysis Nonlinear wave equation Stability (probability) Operator splitting Dispersionless equation Computational Mathematics symbols.namesake Nonlinear Sciences::Exactly Solvable and Integrable Systems Integrator Iterative splitting method symbols Korteweg–de Vries equation Mathematics Von Neumann architecture |
| Zdroj: | Applied Mathematics and Computation. 218:777-782 |
| ISSN: | 0096-3003 |
| DOI: | 10.1016/j.amc.2011.03.084 |
| Popis: | In this paper, we apply the method of iterative operator splitting on the Korteweg-de Vries (KdV) equation. The method is based on first, splitting the complex problem into simpler sub-problems. Then each sub-equation is combined with iterative schemes and solved with suitable integrators. Von Neumann analysis is performed to achieve stability criteria for the proposed method applied to the KdV equation. The numerical results obtained by iterative splitting method for various initial conditions are compared with the exact solutions. It is seen that they are in a good agreement with each other. © 2011 Elsevier Inc. All rights reserved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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