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Numerical solution of integral equations by using local polynomial regression

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Author
Çağlar, Nazan
Çağlar, Hikmet
Type
Article
Date
2008-04
Language
en_US
Metadata
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Abstract
In this paper, we find numerical solution of x(t) + lambda integral(b)(a)k(t,s)x(s)ds = y(t) a <= t <= b or x(t) + lambda integral(b)(a) k(t,s)x(s)ds = y(t) a <= t <= b, a <= s <= b by Local Polynomial Regression (LPR). We shown that, present new method is powerful in solving both Fredholm and Volterra integral equations. The method is tested on some model problems to demonstrate its usefulness. The convergence of the method is discusses.
Subject
integral equations
local polynomial regression
Kernel functions
integral denklemler
yerel polinom regresyon
çekirdek fonksiyonları
URI
http://hdl.handle.net/11413/1200
Collections
  • Makaleler / Articles [24]
  • Makaleler / Articles [209]
  • Scopus Publications [724]
  • WoS Publications [1016]

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İstanbul Kültür University

Hakkında |Politika | Kütüphane | İletişim | Send Feedback | Admin

Istanbul Kültür University, Ataköy Campus E5 Karayolu Üzeri Bakırköy 34158, İstanbul / TURKEY
Copyright © İstanbul Kültür University

Creative Commons Lisansı
IKU Institutional Repository, Creative Commons Alıntı-GayriTicari-Türetilemez 4.0 Uluslararası Lisansı ile lisanslanmıştır.

Designed by  UNIREPOS