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

Author

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.

Suggested Citation

  • Mehmet Şenol & İhsan Timuçin Dolapçı & Yiğit Aksoy & Mehmet Pakdemirli, 2013. "Perturbation‐Iteration Method for First‐Order Differential Equations and Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:704137
    DOI: 10.1155/2013/704137
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    References listed on IDEAS

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    1. Wang, Shu-Qiang & He, Ji-Huan, 2008. "Nonlinear oscillator with discontinuity by parameter-expansion method," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 688-691.
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    Cited by:

    1. Shafaruniza Mahadi & Su Hoe Yeak & Norazam Arbin & Faisal Salah, 2023. "Theoretical Error Analysis of Hybrid Finite Difference–Asymptotic Interpolation Method for Non‐Newtonian Fluid Flow," Journal of Applied Mathematics, John Wiley & Sons, vol. 2023(1).

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