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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
The accuracy of the proposed methods are demonstrated by test problems and numerical results are compared with the exact solution and some previous results.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, an application of the quartic trigonometric B-spline finite element method is used to solve the regularized long wave equation numerically.
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Temel Bulgular & Veri:This approach involves a Galerkin method based on the quartic trigonometric B-spline function in space discretization together with second and fourth order schemes in time discretization.
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Sonuç & Katkı:The accuracy of the proposed methods are demonstrated by test problems and numerical results are compared with the exact solution and some previous results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Galerkin method · quartic trigonometric B-spline · regularized long wave equation
Abstract
In this paper, an application of the quartic trigonometric B-spline finite element method is used to solve the regularized long wave equation numerically. This approach involves a Galerkin method based on the quartic trigonometric B-spline function in space discretization together with second and fourth order schemes in time discretization. The accuracy of the proposed methods are demonstrated by test problems and numerical results are compared with the exact solution and some previous results.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
IRK, D., YILDIZ, P. K., GÖRGÜLÜ, M. Z. (2019). Quartic trigonometric B-spline algorithm for numerical solution of the regularized long wave equation. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 112–125. https://ajindex.com/articles/212748