Journals / Karaelmas Fen ve Mühendislik Dergisi / 2016 / Cilt: 6 - Sayı: 1

The Approximate Calculation of Eigenvalues of Certain Integral Operators with Rational Kernels Using Different Numerical Methods

Rasyonel Çekirdekli Belirli İntegral Operatörlerin Özdeğerlerinin Farklı Nümerik Yöntemler Kullanılarak Yaklaşık Hesabı

Pages
9–15
Publication Date
2016-01-01
DOI
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AI Summary & Key Takeaways

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

The eigenvalues calculated by these methods are compared with each other. 2010 AMS-Mathematical Subject Classification Number: 45C05

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, the eigenvalues of certain integral operators with rational kernels are calculated using Ritz, Kellogg and Trace approximation methods.
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Key Findings & Data:In this work, the eigenvalues of certain integral operators with rational kernels are calculated using Ritz, Kellogg and Trace approximation methods.
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Conclusion & Impact:The eigenvalues calculated by these methods are compared with each other. 2010 AMS-Mathematical Subject Classification Number: 45C05
🔬Design:Research Article
📍Scope:2010 Verileri
⚙️Variables:İntegral operatörler · Özdeğer · Yaklaşık yöntemler

Abstract

In this work, the eigenvalues of certain integral operators with rational kernels are calculated using Ritz, Kellogg and Trace approximation methods. The eigenvalues calculated by these methods are compared with each other. 2010 AMS-Mathematical Subject Classification Number: 45C05

Özet

Bu çalışmada Ritz, Kellogg ve Trace yaklaşım metotları kullanılarak rasyonel çekirdekli belirli integral operatörlerin özdeğerleri yaklaşık olarak hesaplandı. Bu metotlar ile hesaplanan özdeğerler birbirleri ile karşılaştırıldı

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Cite This Article

GÖCEN, M., SOYKAN, Y., TAŞDEMİR, E. (2016). The Approximate Calculation of Eigenvalues of Certain Integral Operators with Rational Kernels Using Different Numerical Methods. Karaelmas Fen ve Mühendislik Dergisi, Cilt: 6 - Sayı: 1, 9–15. https://ajindex.com/articles/684051

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References (2)

  1. Al Abbas, MA. 1997. Integral Operators with Rational Kernels. PhD Thesis. University of Manchester. 119pp. Göcen, M. 2010. Rasyonel Çekirdekli İntegral Operatörler. Doktora Tezi. Zonguldak Karaelmas Üniversitesi. 98s. Göcen, M., Soykan, Y. 2012. On numerical calculations of eigenvalues using Ritz Method. A.M.S, 6(40): 1973-1990.
  2. Krasnov, M., Kiselev, A., Makarenko, G. 1971. Problems and Exercises in Integral Equation. Mir Publisher. Moscow. 215pp. Kythe, PK., Puri, P. 2002. Computational Methods for Linear Integral Equations. Birkhauser. Boston. 508pp. Taşdemir, E. 2011. Pozitif İntegral Operatörler. Yüksek Lisans Tezi. Zonguldak Karaelmas Üniversitesi. 124s. Yaşar, İ.B. 2005. Uygulamalı Matematik. Siyasal Kitabevi. Ankara. 289s.