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Journals / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2019 / Volume: 37 Issue: 3

QUINTIC B-SPLINE METHOD FOR NUMERICAL SOLUTION OF THE ROSENAU-BURGERS EQUATION

Reza Abazarı(Department of Mathematics, University of Mohaghegh Ardabili)0000-0003-0125-2958
Kenan Yıldırım(Department of Mathematics, Mus Alparslan University)0000-0002-4471-3964
Pages
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Publication Date
2020-09-01
DOI
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AI Summary & Key Takeaways

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

A priori bound and the error estimates of the approximate solutions are discussed with a numerical example.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the quintic B–spline method is employed to calculatenumerical solution of the initial-boundary value problem of Rosenau–Burgersequation.
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Key Findings & Data:This scheme is based on the Crank–Nicolson formulation for time integration and quintic B–spline functions for space integration.
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Conclusion & Impact:A priori bound and the error estimates of the approximate solutions are discussed with a numerical example.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Rosenau-Burgers equation · quintic b-spline method · Crank-Nicolson scheme

Abstract

In this paper, the quintic B–spline method is employed to calculatenumerical solution of the initial-boundary value problem of Rosenau–Burgersequation. This scheme is based on the Crank–Nicolson formulation for time integration and quintic B–spline functions for space integration. The unconditional stability of the method is proved using Von–Neumann approach. A priori bound and the error estimates of the approximate solutions are discussed with a numerical example.

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Cite This Article

Abazarı, R., Yıldırım, K. (2020). QUINTIC B-SPLINE METHOD FOR NUMERICAL SOLUTION OF THE ROSENAU-BURGERS EQUATION. Sigma Mühendislik ve Fen Bilimleri Dergisi, Volume: 37 Issue: 3. https://ajindex.com/articles/1344944

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