Application of pert

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.

Keywords

• Perturbation method
• Perturbation–iteration method
• Symbolic computation
• Lotka–Volterra equations
• Systems of first order differential equations