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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
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 Key Takeaways
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Objective & Hypothesis: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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Key Findings & Data: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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Conclusion & Impact:The accuracy of the proposed methods are demonstrated by test problems and numerical results are compared with the exact solution and some previous results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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.
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Cite This Article
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