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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
The computed results for three examples are compared wherever possible with those already available in literature which shows the superiority of the proposed method.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, we report three level implicit method of high accuracy schemes for the numerical solution of fourth order nonhomogeneous parabolic partial dierential equation, that governs the behavior of a vibrating beam.
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Temel Bulgular & Veri:Parametric septic spline is used in space and nite dierence discretization in time.
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Sonuç & Katkı:The computed results for three examples are compared wherever possible with those already available in literature which shows the superiority of the proposed method.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Finite difference scheme · Parametric septic spline · Fourth order parabolic equation
Abstract
In this paper, we report three level implicit method of high accuracy schemes for the numerical solution of fourth order nonhomogeneous parabolic partial dierential equation, that governs the behavior of a vibrating beam. Parametric septic spline is used in space and nite dierence discretization in time. The linear stability of the presented method is investigated. The computed results for three examples are compared wherever possible with those already available in literature which shows the superiority of the proposed method.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
Khan, A., Sultana, T. (2016). Numerical solution of fourth order parabolic partial dierential equation using parametric septic splines. Hacettepe Journal of Mathematics and Statistics, Volume: 45 Issue: 4. https://ajindex.com/articles/1403121