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Dergiler / Celal Bayar Üniversitesi Fen Bilimleri Dergisi / 2021 / Cilt: 17 - Sayı: 2

Numerical Solutions of System of First Order Normalized Linear Differential Equations by Using Bernoulli Matrix Method

Mehmet SEZER
Kübra ERDEM BİÇER
Mustafa KAZAZ
Sayfa
153–158
Yayın Tarihi
2022-10-12
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

This method transforms the mentioned problem into a system of algebraic equations by using the matrix relations and collocation points; so, the required results along with the solutions are obtained and the usability of the method is discussed.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Systems of first order differential equations have been arisen in science and engineering.
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Temel Bulgular & Veri:Specially, the systems of normalized linear differential equations appear in differential geometry and kinematics problems.
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Sonuç & Katkı:This method transforms the mentioned problem into a system of algebraic equations by using the matrix relations and collocation points; so, the required results along with the solutions are obtained and the usability of the method is discussed.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

Systems of first order differential equations have been arisen in science and engineering. Specially, the systems of normalized linear differential equations appear in differential geometry and kinematics problems. Solution of them is quite difficult analytically; therefore, numerical methods have need for the approximate solution. In this study, by means of a matrix method related to the truncated Bernoulli series we find the approximate solutions of the Frenet-Like system with variable coefficients upon the initial conditions. This method transforms the mentioned problem into a system of algebraic equations by using the matrix relations and collocation points; so, the required results along with the solutions are obtained and the usability of the method is discussed.

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Bu Makaleye Atıf Yap

SEZER, M., BİÇER, K. E., KAZAZ, M. (2022). Numerical Solutions of System of First Order Normalized Linear Differential Equations by Using Bernoulli Matrix Method. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 17 - Sayı: 2, 153–158. https://ajindex.com/articles/472123

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Kaynakça (15)

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