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Journals / Mathematical and Computational Applications / 2011 / Cilt: 16 - Sayı: 4

A new perturbation-iteration approach for first order differential equations

Mehmet PAKDEMİRLİ
YİĞİT AKSOY
Hakan BOYACI
Pages
890–899
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Much better solutions than the regular perturbation solutions are achieved.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Two new perturbation-iteration algorithms for solving differential equations of first order are proposed.
📊
Key Findings & Data:Variants of the algorithm are developed depending on the differential order of Taylor series expansions.
💡
Conclusion & Impact:Much better solutions than the regular perturbation solutions are achieved.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Two new perturbation-iteration algorithms for solving differential equations of first order are proposed. Variants of the algorithm are developed depending on the differential order of Taylor series expansions. The iteration algorithms are tested on a number of first order equations. Much better solutions than the regular perturbation solutions are achieved.

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Cite This Article

PAKDEMİRLİ, M., AKSOY, Y., BOYACI, H. (2011). A new perturbation-iteration approach for first order differential equations. Mathematical and Computational Applications, Cilt: 16 - Sayı: 4, 890–899. https://ajindex.com/articles/279888

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