Fourth-order finite difference method for solving Burgers’ equation

In this paper, we present fourth-order finite difference method for solving nonlinear one-dimensional Burgers’ equation. This method is unconditionally stable. The convergence analysis of the present method is studied and an upper bound for the error is derived. Numerical comparisons are made with m...

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Bibliographic Details
Published in:Applied mathematics and computation 2005-11, Vol.170 (2), p.781-800
Main Authors: Hassanien, I.A., Salama, A.A., Hosham, H.A.
Format: Article
Language:English
Subjects:
Burgers’ equation
Convergence
Exact sciences and technology
Finite difference method
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Partial differential equations, boundary value problems
Sciences and techniques of general use
Stability
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Summary:In this paper, we present fourth-order finite difference method for solving nonlinear one-dimensional Burgers’ equation. This method is unconditionally stable. The convergence analysis of the present method is studied and an upper bound for the error is derived. Numerical comparisons are made with most of the existing numerical methods for solving this equation.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2004.12.052