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SOLUTION OF ABEL’S INTEGRAL EQUATION BY KASHURI FUNDO TRANSFORM

Thermal Science · Ocak 2022

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YÖKSİS Kayıtları
Solution of Abel’s Integral Equation by Kashuri Fundo Transform
Thermal Science · 2022 SCI-Expanded
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Makale Bilgileri

DergiThermal Science
Yayın TarihiOcak 2022
Cilt / Sayfa26 · 3003-3010
DOI10.2298/TSCI2204003C
Scopus ID2-s2.0-85135038019
Erişim🔓 Açık Erişim
Özet Integral equations can be defined as equations in which unknown function to be determined appears under the integral sign. These equations have been used in many problems occurring in different fields due to the connection they establish with differential equations. Abel’s integral equation is an important singular integral equation and Abel found this equation from a problem of mechanics, namely the tautochrone problem. This equation and some variants of it found applications in heat transfer between solids and gases under non-linear boundary conditions, theory of superfluidity, subsolutions of a non-linear diffusion problem, propagation of shock-waves in gas field tubes, microscopy, seismology, radio astronomy, satellite photometry of airglows, electron emission, atomic scattering, radar ranging, optical fiber evaluation, X-ray radiography, flame and plasma diagnostics. Integral transforms are widely used mathematical techniques for solving advanced problems of applied sciences. One of these transforms is the Kashuri Fundo transform. This transform was derived by Kashuri and Fundo to facilitate the solution processes of ODE and PDE. In some works, it has been seen that it provides great convenience in finding the unknown function in integral equations. In this work, our aim is to solve Abel’s integral equation by Kashuri Fundo transform and some applications are made to explain the solution procedure of Abel’s integral equation by Kashuri Fundo transform.

Yazarlar (2)

1
F. A. Çuha
2
Haldun Alpaslan Peker

Anahtar Kelimeler

Abel’s integral equation Convolution theorem Integral transforms Inverse kashuri fundo transform Kashuri fundo transform

Kurumlar

Selçuk Üniversitesi
Selçuklu Turkey

Metrikler

9
Atıf
2
Yazar
5
Anahtar Kelime

Sistemimizdeki Yazarlar

HP
HALDUN ALPASLAN PEKER
DOÇENT

Hızlı Erişim

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