Preservation of the Invariants of Lotka-Volterra Equations by Iterated Deferred Correction Methods
Yazarlar (1)
Prof. Dr. Murat UZUNCA Sinop Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (ESCI dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Turkish World Mathematical Society Journal of Applied and Engineering Mathematics | ||
| Dergi ISSN | 2146-1147 Dergi Bilgileri (2021) | ||
| Dergi Tarandığı Indeksler | ESCI: Emerging Sources Citation Index | ||
| Makale Dili | İngilizce | Basım Tarihi | 09-2021 |
| Cilt / Sayı / Sayfa | 11 / 4 / 1080–1092 | DOI | – |
| Makale Linki | http://jaem.isikun.edu.tr/web/images/articles/vol.11.no.4/12.pdf | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| In this paper we apply Kahan's nonstandard discretization to three dimensional Lotka-Volterra equations in bi-Hamiltonian form. The periodicity of the solutions and all polynomial and non-polynomial invariants are well preserved in long-term integration. Applying classical deferred correction method, we show that the invariants are preserved with increasing accuracy as a results of more accurate numerical solutions. Substantial speedups over the Kahan's method are achieved at each run with deferred correction method. |
| Anahtar Kelimeler |
| conserved quantities | iterated deferred correction | Kahan's method | Lotka-Volterra equations |
