Maximum norm convergence analysis of extrapolated Crank-Nicolson orthogonal spline collocation for Burgers' equation in one space variable

DOI10.1080/10236198.2018.1512981zbMath1405.65131OpenAlexW2891067751MaRDI QIDQ4559342

Nick Fisher, Bernard Bialecki

Publication date: 3 December 2018

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2018.1512981

zbMATH Keywords

convergence analysisBurgers' equationCrank-Nicolson schemeorthogonal spline collocation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (max. 100)

Unnamed Item ⋮ Extrapolated ADI Crank–Nicolson orthogonal spline collocation for coupled Burgers' equations

Uses Software

• COLROW
• ARCELO

Cites Work

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