Application of perturbation–iteration method to Lotka–Volterra equations -- from Wolfram Library Archive

Title

Application of perturbation–iteration method to Lotka–Volterra equations

Authors

Yig˘ it Aksoy

U¨ nal Go¨ ktas

Mehmet Pakdemirli

Ihsan Timuc¸ in Dolapc¸ ı

Journal / Anthology

Alexandria Engineering Journal

Year:

2016

Volume:

Issue:

Page range:

1661-1666

Description

Perturbation–iteration method is generalized for systems of first order differential equations. Approximate solutions of Lotka–Volterra systems are obtained using the method. Comparisons of our results with each other and with numerical solutions are given. The method is implemented in Mathematica, a major computer algebra system. The package PerturbationIteration.m automatically carries out the tedious calculations of the method.

Subject

Engineering

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