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

Year 2021, Volume: 5 Issue: 1, 50 - 67, 30.06.2021

Bayram Köse

https://doi.org/10.47137/usufedbid.891331

Abstract

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.

Keywords

Fourier transform method,, Adomian decomposition method, numerical solution of ODE

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

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.

Keywords

Fourier transform method, Adomian decomposition method, numerical solution of ODE

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