Application of pert urbation-iteration method to Lotka-Volterra equations

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Date

2016

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Volume Title

Publisher

Elsevier B.V.

Abstract

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. © 2016 Faculty of Engineering, Alexandria University.

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Keywords

Algebra , Control systems , Differential equations , Integral equations , Perturbation techniques , Predator prey systems , First order differential equation , Iteration method , Lotka-Volterra equations , Perturbation method , Symbolic computation , Iterative methods

Citation

URI

http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15812

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