Journals / Trakya Üniversitesi Fen Bilimleri Dergisi / 2005 / Cilt: 6 - Sayı: 1

POWER SERIES SOLUTION OF NON-LINEAR FIRST ORDER DIFFERENTIAL EQUATION SYSTEMS

LİNEER OLMAYAN BİRİNCİ MERTEBEDEN DİFFERENTİAL DENKLEM SİSTEMLERİNİN KUVVET SERİSİYLE ÇÖZÜMÜ

Pages
107–111
Publication Date
2016-08-05
DOI
—
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AI Summary & Key Takeaways

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

We use MAPLE computer algebra systems for numerical calculations (FRANK, 1996).

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we use power series method to solve non-linear ordinary differential equations Theoretical considerations has been discussed and some examples were presented to show the ability of the method for non-linear systems of differential equations.
📊
Key Findings & Data:In this paper, we use power series method to solve non-linear ordinary differential equations Theoretical considerations has been discussed and some examples were presented to show the ability of the method for non-linear systems of differential equations.
💡
Conclusion & Impact:We use MAPLE computer algebra systems for numerical calculations (FRANK, 1996).
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Kuvvet serileri · Adi diferansiyel denklemlerin nümerik çözümü · MAPLE

Abstract

In this paper, we use power series method to solve non-linear ordinary differential equations Theoretical considerations has been discussed and some examples were presented to show the ability of the method for non-linear systems of differential equations. We use MAPLE computer algebra systems for numerical calculations (FRANK, 1996).

Özet

Bu makalede, lineer olmayan adi diferansiyel denklemlerin çözümü için kuvvet serisini kullandık. Nümerik yoldan elde edilen sonuçlarla, teorik yoldan elde edilen sonuçlar karşılaştırıldı ve lineer olmayan differansiyel denklem sistemlerinde metodun etkinliğini göstermek için örnekler verildi. Nümerik hesap-lamalarda MAPLE bilgisayar cebiri sistemleri kullanıldı (FRANK, 1996).

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Cite This Article

GÜZEL, N., BAYRAM, M. (2016). POWER SERIES SOLUTION OF NON-LINEAR FIRST ORDER DIFFERENTIAL EQUATION SYSTEMS. Trakya Üniversitesi Fen Bilimleri Dergisi, Cilt: 6 - Sayı: 1, 107–111. https://ajindex.com/articles/722719

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