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

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Listed:
  • Mehmet Şenol
  • İhsan Timuçin Dolapçı
  • Yiğit Aksoy
  • Mehmet Pakdemirli

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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Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:704137
DOI: 10.1155/2013/704137
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