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Dergiler / Uşak Üniversitesi Fen ve Doğa Bilimleri Dergisi / 2026 / Cilt: 5 Sayı: 1

On Combining with Fourier Transform and Adomian Methods to solve the Riccati Equations

Bayram Köse(Bakırçay Üniversitesi, Mühendislik ve Mimarlık Fakültesi, Elektrik Elektronik Mühendisliği Bölümü)0000-0003-0256-5921
Sayfa
50–67
Yayın Tarihi
2021-06-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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📌 3 Maddede Bu Makale

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Amaç & Hipotez:Bu makalede, Riccati denklemlerini çözmek için Fourier dönüşüm yöntemini ile Adomian ayrıştırma yöntemi uyguluyoruz.
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Temel Bulgular & Veri:FADM'ler kullanılarak elde edilen çözümler, Runge Kutta2 ve Euler yöntemi kullanılarak elde edilen sayısal çözümlerle karşılaştırılmıştır.
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Sonuç & Katkı:Ayrıca çözümlerin hata grafikleri sunulmuştur.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fourier transform method · Adomian decomposition method · numerical solution of ODE

Özet

Bu makalede, Riccati denklemlerini çözmek için Fourier dönüşüm yöntemini ile Adomian ayrıştırma yöntemi uyguluyoruz. Önerilen yöntem, Fourier dönüşümü ve adomian ayrıştırma yöntemlerine dayanmaktadır. FADM'ler kullanılarak elde edilen çözümler, Runge Kutta2 ve Euler yöntemi kullanılarak elde edilen sayısal çözümlerle karşılaştırılmıştır. Ayrıca çözümlerin hata grafikleri sunulmuştur.

Abstract

In this paper, we apply the Fourier transform method with the Adomian decomposition method to solve Riccati equations . Proposed method is based on the Fourier transform and adomian decomposition methods. The solutions obtained using FADMs are compared with the numerical solutions obtained using the Rung Kutta2 and Euler method. Also, error graphs of the solutions are presented.

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Bu Makaleye Atıf Yap

Köse, B. (2021). On Combining with Fourier Transform and Adomian Methods to solve the Riccati Equations. Uşak Üniversitesi Fen ve Doğa Bilimleri Dergisi, Cilt: 5 Sayı: 1, 50–67. https://doi.org/10.47137/usufedbid.891331

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Kaynakça (19)

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