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2013 Perturbation-Iteration Method for First-Order Differential Equations and Systems
Mehmet Şenol, İhsan Timuçin Dolapçı, Yiğit Aksoy, Mehmet Pakdemirli
Abstr. Appl. Anal. 2013(SI01): 1-6 (2013). DOI: 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.

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Mehmet Şenol. İhsan Timuçin Dolapçı. Yiğit Aksoy. Mehmet Pakdemirli. "Perturbation-Iteration Method for First-Order Differential Equations and Systems." Abstr. Appl. Anal. 2013 (SI01) 1 - 6, 2013. https://doi.org/10.1155/2013/704137

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1275.65087
MathSciNet: MR3064336
Digital Object Identifier: 10.1155/2013/704137

Rights: Copyright © 2013 Hindawi

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