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Journals / Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi / 2011 / Cilt: 6 - Sayı: 2

Step Size Strategies Based On Error Analysis For The Linear Systems

Lineer Sistemler İçin Hata Analizi Tabanlı Adım Genişliği Stratejileri

Gülnur ÇELİK KIZILKAN
Kemal AYDIN
Pages
149–159
Publication Date
2011-12-01
DOI
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AI Summary & Key Takeaways

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

We have also give the numerical examples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we have obtained the step size strategies for numerical integration of the linear differential equation systems.
📊
Key Findings & Data:We have given the algorithms which calculate step sizes based on the given strategies and numerical solutions.
💡
Conclusion & Impact:We have also give the numerical examples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Değişken adım genişliği · hata analizi · lineer sistemler

Abstract

In this paper, we have obtained the step size strategies for numerical integration of the linear differential equation systems. We have given the algorithms which calculate step sizes based on the given strategies and numerical solutions. These strategies and algorithms are generalized to systems by modifying the algorithm and strategy in [1]. We have applied our strategies to Cauchy problem with orderm. We have also give the numerical examples.

Özet

Bu çalışmada, lineer diferensiyel denklem sistemlerinin nümerik integrasyonu için adım genişliği stratejileri elde edilmiştir. Verilen stratejilere uygun olarak adım genişlikleri ve nümerik çözümler hesaplayan algoritmalar verilmiştir. Bu strateji ve algoritmalar [1] de verilen strateji ve algoritmanın değiştirilerek sistemlere genişletilmesidir. Verilen stratejiler m. mertebeden Cauchy problemine uygulanmıştır. Ayrıca, sonuçların doğruluğunu göstermek için nümerik örnekler de verilmiştir.

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Cite This Article

KIZILKAN, G. Ç., AYDIN, K. (2011). Step Size Strategies Based On Error Analysis For The Linear Systems. Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi, Cilt: 6 - Sayı: 2, 149–159. https://ajindex.com/articles/261033

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References (10)

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