Perturbation‐Iteration Method for First‐Order Differential Equations and Systems

Mehmet Şenol, İhsan Timuçin Dolapçı, Yiğit Aksoy and Mehmet Pakdemirli

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/704137

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:704137

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