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Journals / İstanbul Ticaret Üniversitesi Fen Bilimleri Dergisi / 2020 / Cilt: 19 - Sayı: 38

NEW REPRODUCING KERNELS AND HOMOGENIZING TRANSFORMS FOR SOME BOUNDARY VALUE PROBLEMS

BAZI SINIR DEĞER PROBLEMLERİ İÇİN YENİ ÜRETİCİ ÇEKİRDEKLER VE HOMOJENLEŞTİRME DÖNÜŞÜMLERİ

Elif NURAY YILDIRIM
Pages
234–243
Publication Date
2020-12-31
DOI
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AI Summary & Key Takeaways

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

For this purpose, homogenizing transformation functions have been found and nonlinear nonhomogeneous problems transformed to the homogeneous form.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Nonlinear boundary value problems have a significant role in the science.
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Key Findings & Data:The solution approximations are also important as much as problems.
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Conclusion & Impact:For this purpose, homogenizing transformation functions have been found and nonlinear nonhomogeneous problems transformed to the homogeneous form.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Üretici çekirdek fonksiyonları · Sınır değer Problemleri · Üretici çekirdek metodu

Abstract

Nonlinear boundary value problems have a significant role in the science. The solution approximations are also important as much as problems. In this study, new reproducing kernel spaces are constructed and reproducing kernel functions have been obtained for some boundary value problems. In the reproducing kernel theory, it is higly important to study wih homogeneous differential equation with the homogeneous conditions. For this purpose, homogenizing transformation functions have been found and nonlinear nonhomogeneous problems transformed to the homogeneous form.

Özet

Lineer olmayan sınır değer problemleri fizikte ve matematikte önemli bir yer tutmaktadır. Problemlere dair çözüm yaklaşımları ise bir o kadar öneme haizdir. Bu çalışmada, bazı yeni üretici çekirdekli uzaylar inşa edilerek bu uzaylara ait üretici çekirdek fonksiyonları elde edildi. Üretici çekirdek teorisi gereği çalışılan denklemin ve denkleme ait sınır şartlarının muhakkak suretle homojen olması önemli olduğundan, homojen olmayan sınır değer problemleri özel dönüşüm fonksiyonları kullanılarak homojen hale getirildi.

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Cite This Article

YILDIRIM, E. N. (2020). NEW REPRODUCING KERNELS AND HOMOGENIZING TRANSFORMS FOR SOME BOUNDARY VALUE PROBLEMS. İstanbul Ticaret Üniversitesi Fen Bilimleri Dergisi, Cilt: 19 - Sayı: 38, 234–243. https://ajindex.com/articles/123882

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References (4)

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