The application of shape preserving splines for the modified Korteweg-de Vries equation
| Autor: | B. Izrar, P. Bertrand, M.R. Feix, M. Shoucri |
|---|---|
| Rok vydání: | 1987 |
| Předmět: |
Vries equation
Mathematical analysis General Physics and Astronomy Dissipation Nonlinear Sciences::Exactly Solvable and Integrable Systems Hardware and Architecture Fundamental Resolution Equation Soliton Non linear wave Dispersion (water waves) Korteweg–de Vries equation Nonlinear Sciences::Pattern Formation and Solitons SIMPLE algorithm Mathematics |
| Zdroj: | Computer Physics Communications. 46:1-5 |
| ISSN: | 0010-4655 |
| DOI: | 10.1016/0010-4655(87)90032-4 |
| Popis: | This paper investigates the use of shape-preserving splines for the numerical solution of the Korteweg-de Vries equation modified to include such effects as dissipation or time varying dispersion. Using a fractional time-step method, a simple algorithm is obtained, which is shown to be very accurate, even though the soliton becomes very steep. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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