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Journals / Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi / 2002 / Cilt: 17 - Sayı: 2

Error analysis of numerical methods and preparation of a numerical solution package

Nümerik yöntemlerde hata analizi ve bir nümerik çözüm paketinin hazırlanması

Selma YÜNCÜ
Cihan ASLAN
Pages
87–102
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Samples of the written programs were given in float, double and long double variable types and the results were presented as drawings, and errors in the sample calculations were determined from samples with known real values.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, numerical error analysis was made and samples were provided.
📊
Key Findings & Data:Additionally, programs for: Bairstow root finding, Gauss elimination method, LU -Crout analysis, Cubicspline interpolation, Romberg integral and Runge - Kutta methods were written with C++ and made into a visual interface numerical solution package.
💡
Conclusion & Impact:Samples of the written programs were given in float, double and long double variable types and the results were presented as drawings, and errors in the sample calculations were determined from samples with known real values.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, numerical error analysis was made and samples were provided. Additionally, programs for: Bairstow root finding, Gauss elimination method, LU -Crout analysis, Cubicspline interpolation, Romberg integral and Runge - Kutta methods were written with C++ and made into a visual interface numerical solution package. Samples of the written programs were given in float, double and long double variable types and the results were presented as drawings, and errors in the sample calculations were determined from samples with known real values.

Özet

Bu çalışmada nümerik hataların analizi yapılarak örnekler verilmiştir. Ayrıca Bairstow kök bulma, Gauss yok etme, LU-Crout çözümleme, Cubicspline enterpolasyon, Romberg integral, Runge-Kutta yöntemlerinin programlan C++ ile yazılmış, görsel nitelikli nümerik çözüm paketi haline getirilmiştir. Yazılan programlar normal, çift duyarlıklı ve uzun çift duyarlıklı değişken tipleri ile örneklendirilerek, sonuçlar çizelgeler ile birlikte sunulmuş, gerçek değerleri bilinen örneklerde hatalar hesaplanmıştır.

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Cite This Article

YÜNCÜ, S., ASLAN, C. (2022). Error analysis of numerical methods and preparation of a numerical solution package. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, Cilt: 17 - Sayı: 2, 87–102. https://ajindex.com/articles/524302

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References (13)

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