A New Phase- and Amplification-Fitted Sixth-Order Explicit RKN Method to Solve Oscillating Systems.
[EN]An optimization of the sixth-order explicit Runge-Kutta-Nyström method with six stages de-rived by El-Mikkawy and Rahmo using the phase-fitted and amplification-fitted techniques with constant step-size is constructed in this paper. The new adapted method integrates exactly the common test: y′′=...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad de Salamanca (USAL) |
| Repositorio: | GREDOS. Repositorio Institucional de la Universidad de Salamanca |
| OAI Identifier: | oai:gredos.usal.es:10366/156304 |
| Acceso en línea: | http://hdl.handle.net/10366/156304 |
| Access Level: | acceso abierto |
| Palabra clave: | Phase-fitted and amplification-fitted schemes RKN method Oscillatory systems Initial-value problems 12 Matemáticas |
| Sumario: | [EN]An optimization of the sixth-order explicit Runge-Kutta-Nyström method with six stages de-rived by El-Mikkawy and Rahmo using the phase-fitted and amplification-fitted techniques with constant step-size is constructed in this paper. The new adapted method integrates exactly the common test: y′′=−w2y. The local truncation error of the new method is computed, showing that the order of convergence is maintained. The stability analysis is addressed, showing that the developed method is“almost” P-stable. The numerical experiments demonstrate the high performance of the proposed scheme compared to other existing explicit RKN codes with six stages and same order. |
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