A numerical solution of the Burgers' equation using septic \(B\)-splines

DOI10.1016/j.chaos.2005.02.019zbMath1073.65103OpenAlexW2089504086MaRDI QIDQ2484724

Faisal E. I. Abd Alaal, Mohamed A. Ramadan, Talaat S. El Danaf

Publication date: 1 August 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.02.019

zbMATH Keywords

numerical resultsfinite elementscollocationB-splinesnonlinear Burgers' equationvon-Neumann stability analysis

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Cites Work

• On global stabilization of Burgers' equation by boundary control.
• Asymptotic behavior of solutions of time-delayed Burgers' equation
• A numerical solution of the Burgers' equation using cubic B-splines
• Distributed and boundarycontrol of the viscous burgers' equation
• Sonic shocks governed by the modified Burgers' equation
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