Perturbation-iteration method for first-order differential equations and systems
type: Item
instance of: scholarly article
title: Perturbation-iteration method for first-order differential equations and systems
zbMATH Open document ID: 1275.65087
DOI: 10.1155/2013/704137
author: Mehmet Şenol
author: İhsan Timuçin Dolapçı
author: Yiğit Aksoy
author: Mehmet Pakdemirli
published in: Abstract and Applied Analysis
publication date: 2013-09-19T00:00:00Z
review text: Summary: 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 the variational iteration method and numerical solutions, and a good agreement is found. The method can be applied to differential equation systems with success.
Mathematics Subject Classification ID: 65N99
Mathematics Subject Classification ID: 35F20
Mathematics Subject Classification ID: 35F50
zbMATH DE Number: 6209408
zbMATH Keywords: perturbation-iteration algorithm
zbMATH Keywords: differential equation systems
zbMATH Keywords: variational iteration method
Wikidata QID: Q58206599
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/704137
OpenAlex ID: W2067555783
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description: scientific article; zbMATH DE number 6209408