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Journals / Sigma Journal of Engineering and Natural Sciences / 2026 / Volume: 37 Issue: 1

NUMERICAL SOLUTIONS AND STABILITY ANALYSIS OF MODIFIED BURGERS EQUATION VIA MODIFIED CUBIC B-SPLINE DIFFERENTIAL QUADRATURE METHODS

Yusuf Uçar(INONU UNIVERSITY)0000-0003-1469-5002
Murat Yağmurlu(INONU UNIVERSITY)0000-0003-1593-0254
Ali Başhan(BULENT ECEVIT UNIVERSITY)0000-0001-8500-493X
Pages
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Publication Date
2019-03-01
DOI
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AI Summary & Key Takeaways

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

A stability analysis has at the same time been given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The purpose of this work is obtain the numerical approximate solutions of the nonlinear modified Burgers’ equation (MBE) via the modified cubic B-spline (MCB) differential quadrature methods (DQMs).
📊
Key Findings & Data:The accuracy and effectiveness of the methods are measured and reported by finding out error norms L_2 and L_∞.
💡
Conclusion & Impact:A stability analysis has at the same time been given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Differential quadrature method · modified Burgers’ equation · B-spline

Abstract

The purpose of this work is obtain the numerical approximate solutions of the nonlinear modified Burgers’ equation (MBE) via the modified cubic B-spline (MCB) differential quadrature methods (DQMs). The accuracy and effectiveness of the methods are measured and reported by finding out error norms L_2 and L_∞. The present numerical results have been compared with some earlier studies and this comparison clearly indicates that the method is an outstanding numerical scheme for the solution of the MBE. A stability analysis has at the same time been given.

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Cite This Article

Uçar, Y., Yağmurlu, M., Başhan, A. (2019). NUMERICAL SOLUTIONS AND STABILITY ANALYSIS OF MODIFIED BURGERS EQUATION VIA MODIFIED CUBIC B-SPLINE DIFFERENTIAL QUADRATURE METHODS. Sigma Journal of Engineering and Natural Sciences, Volume: 37 Issue: 1. https://ajindex.com/articles/1632780

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