Perturbation-Iteration Method for First-Order Differential Equations and Systems
Open Access
- 22 May 2013
- journal article
- research article
- Published by Hindawi Limited in Abstract and Applied Analysis
- Vol. 2013, 1-6
- https://doi.org/10.1155/2013/704137
Abstract
The previously developed new perturbation-iteration algorithm has been applied to differential equation systems for the first time. The iteration algorithm for systems is developed first. The algorithm is tested for a single equation, coupled two equations, and coupled three equations. Solutions are compared with those of variational iteration method and numerical solutions, and a good agreement is found. The method can be applied to differential equation systems with success.Keywords
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