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Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 1

Quartic trigonometric B-spline algorithm for numerical solution of the regularized long wave equation

Dursun IRK
Pınar KESKİN YILDIZ
Melis ZORŞAHİN GÖRGÜLÜ
Pages
112–125
Publication Date
2022-11-04
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Theaccuracy of the proposed methods are demonstrated by test problems and numerical results are compared with the exactsolution and some previous results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, an application of the quartic trigonometric B-spline finite element method is used to solve theregularized long wave equation numerically.
📊
Key Findings & Data:This approach involves a Galerkin method based on the quartic trigonometricB-spline function in space discretization together with second and fourth order schemes in time discretization.
💡
Conclusion & Impact:Theaccuracy of the proposed methods are demonstrated by test problems and numerical results are compared with the exactsolution and some previous results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, an application of the quartic trigonometric B-spline finite element method is used to solve theregularized long wave equation numerically. This approach involves a Galerkin method based on the quartic trigonometricB-spline function in space discretization together with second and fourth order schemes in time discretization. Theaccuracy of the proposed methods are demonstrated by test problems and numerical results are compared with the exactsolution and some previous results.

🔖

Cite This Article

IRK, D., YILDIZ, P. K., GÖRGÜLÜ, M. Z. (2022). 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/608075

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