Efficient accurate numerical treatment of the modified Burgers’ equation

DOI10.1080/00036810802556787zbMath1167.35470OpenAlexW2038137204WikidataQ57389626 ScholiaQ57389626MaRDI QIDQ3634312

Andreas Griewank, Talaat S. El Danaf

Publication date: 24 June 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802556787

zbMATH Keywords

accuracyvon Neumann stabilitynon-polynomial splinenon-linear modified Burgers' equation

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) Spline approximation (41A15)

Related Items (9)

Two meshless methods based on pseudo spectral delta-shaped basis functions and barycentric rational interpolation for numerical solution of modified Burgers equation ⋮ Numerical solutions of the modified Burgers' equation by finite difference methods ⋮ Numerical solution of the regularized long wave equation using nonpolynomial splines ⋮ Numerical solutions of the modified Burgers equation by Petrov-Galerkin method ⋮ A Haar wavelet-finite difference hybrid method for the numerical solution of the modified Burgers' equation ⋮ Adaptive semi-discrete formulation of BSQI-WENO scheme for the modified Burgers' equation ⋮ Numerical solutions of the modified Burgers equation by a cubic B-spline collocation method ⋮ Spline solution of the generalized Burgers'-Fisher equation ⋮ A numerical scheme for a class of generalized Burgers' equation based on Haar wavelet nonstandard finite difference method

Cites Work

• Polynomial and nonpolynomial spline approaches to the numerical solution of second order boundary value problems
• On global stabilization of Burgers' equation by boundary control.
• A smooth approximation for the solution of a fourth-order boundary value problem based on nonpolynomial splines
• A numerical solution of the Burgers' equation using cubic B-splines
• Numerical treatment for the modified Burgers equation
• A class of methods based on a septic non-polynomial spline function for the solution of sixth-order two-point boundary value problems
• Distributed and boundarycontrol of the viscous burgers' equation

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