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Journals / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 5

A fourth order one step method for numerical solution of good Boussinesq equation

Dursun IRK
Emre KIRLI
Pages
2154–2170
Publication Date
2022-11-03
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

The results of numerical experiments confirm that the proposed method has a higher accuracy

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we investigate the numerical solution of ”good” Boussinesq equation by using the quartic B-spline Galerkin method for space discretization and the fourth order one-step method for time discretization.The proposed numerical scheme is analyzed for truncation error.
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Key Findings & Data:Four test problems are studied.
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Conclusion & Impact:The results of numerical experiments confirm that the proposed method has a higher accuracy
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we investigate the numerical solution of ”good” Boussinesq equation by using the quartic B-spline Galerkin method for space discretization and the fourth order one-step method for time discretization.The proposed numerical scheme is analyzed for truncation error. Four test problems are studied. The accuracy and efficiency are measured by computing error norm L∞ and the order of convergence for the proposed method. The results of numerical experiments confirm that the proposed method has a higher accuracy

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Cite This Article

IRK, D., KIRLI, E. (2022). A fourth order one step method for numerical solution of good Boussinesq equation. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 5, 2154–2170. https://ajindex.com/articles/607411

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References (1)

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