Preservation of the invariants of Lotka-Volterra equations by iterated deferred correction methods
Künye
Uzunca, M. (2021). Preservation of the invariants of Lotka-Volterra equations by iterated deferred correction methods. TWMS Journal Of Applied And Engineering Mathematics, 11(4), 1080-1092.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.
Kaynak
TWMS Journal Of Applied And Engineering MathematicsCilt
11Sayı
4Bağlantı
https://hdl.handle.net/11729/3256http://jaem.isikun.edu.tr/web/index.php/archive/113-vol11-no4/766
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