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Dergiler / 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
Sayfa
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Yayın Tarihi
2019-03-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

A stability analysis has at the same time been given.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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).
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Temel Bulgular & Veri:The accuracy and effectiveness of the methods are measured and reported by finding out error norms L_2 and L_∞.
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Sonuç & Katkı:A stability analysis has at the same time been given.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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