Our method reduces the solution of problem to the solution of a system of algebraic equations and the approximate solution is obtained in terms of Taylor polynomials.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this study we consider a third order linear differential equation with variable coefficients characterizing spherical curves according to Frenet frame in Euclidean 4-Space .
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Temel Bulgular & Veri:This equation whose coefficients are related to special function, curvature and torsion, is satisfied by the position vector of any regular unit velocity spherical curve.
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Sonuç & Katkı:Our method reduces the solution of problem to the solution of a system of algebraic equations and the approximate solution is obtained in terms of Taylor polynomials.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Curves in Euclidean Space · Spherical curves · Taylor matrix method
Abstract
In this study we consider a third order linear differential equation with variable coefficients characterizing spherical curves according to Frenet frame in Euclidean 4-Space . This equation whose coefficients are related to special function, curvature and torsion, is satisfied by the position vector of any regular unit velocity spherical curve. These type equations are generally impossible to solve analytically and so, for approximate solution we present a numerical method based on Taylor polynomials and collocations points by using initial conditions. Our method reduces the solution of problem to the solution of a system of algebraic equations and the approximate solution is obtained in terms of Taylor polynomials.
AYDIN, T. A., SEZER, M. (2019). Taylor-Matrix Collocation Method to Solution of Differential Equations Characterizing Spherical Curves in Euclidean 4-Space. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 15 - Sayı: 1, 1–7. https://ajindex.com/articles/92651
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