Application of Kashuri Fundo Transform to Decay Problem

Year 2022, Volume: 26 Issue: 3, 546 - 551, 20.12.2022

Haldun Alpaslan Peker , Fatma Aybike Çuha

https://doi.org/10.19113/sdufenbed.1160426

Cited By: 3

Abstract

Recently, it has become quite common to investigate the solutions of
problems that have an important place in scientific fields by using integral
transforms. The most important reason for this is that this transform allows the
simplest and least number of calculations to be made while reaching the solutions
of the problems. In this study, we are looking for a solution to the decay problem,
which has a very important place in fields such as economics, chemistry, zoology,
biology and physics, by using the Kashuri Fundo transform, which is one of the
integral transforms. In order to reveal the ease of use of this transform in reaching
the solution, some numerical applications were examined. The results of these
numerical applications reveal that the Kashuri Fundo transform is quite efficient in
reaching the solution of the decay problem.

Keywords

Integral transform, Kashuri Fundo transform, Inverse Kashuri Fundo transform, Decay problem

Kashuri Fundo Dönüşümünün Bozunma Problemine Uygulanması

Abstract

Son zamanlarda, bilimsel alanlarda önemli bir yere sahip olan problemlerin çözümlerinin integral dönüşümleri kullanılarak araştırılması oldukça yaygın hale
gelmiştir. Bunun en önemli nedeni, bu dönüşümün problemlerin çözümüne ulaşırken en basit ve en az sayıda hesaplamanın yapılmasına olanak sağlamasıdır.
Bu çalışmada ekonomi, kimya, zooloji, biyoloji ve fizik gibi alanlarda çok önemli bir yere sahip olan bozunma problemine integral dönüşümlerden biri olan Kashuri
Fundo dönüşümü kullanılarak çözüm aranmaktadır. Çözüme ulaşmada bu dönüşümün kullanım kolaylığını ortaya koymak için bazı sayısal uygulamalar
incelenmiştir. Bu sayısal uygulamaların sonuçları, Kashuri Fundo dönüşümünün bozunma probleminin çözümüne ulaşmada oldukça verimli olduğunu ortaya
koymaktadır.

Keywords

İntegral dönüşümü, Kashuri Fundo dönüşümü, Ters Kashuri Fundo dönüşümü, Bozunma problemi

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