PRESERVATION OF THE INVARIANTS OF LOTKA-VOLTERRA EQUATIONS BY ITERATED DEFERRED CORRECTION METHODS
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Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Turkic World Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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.
Açıklama
Anahtar Kelimeler
Lotka-Volterra equations, conserved quantities, Kahan's method, iterated de-ferred correction
Kaynak
Twms Journal of Applied and Engineering Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
11
Sayı
4
