Fourth-order finite difference method for solving Burgers’ equation

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 most of the existing numerical methods for solving this equation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Computation Elsevier

Fourth-order finite difference method for solving Burgers’ equation

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Publisher
Elsevier
Copyright
Copyright © 2005 Elsevier Inc.
ISSN
0096-3003
eISSN
1873-5649
DOI
10.1016/j.amc.2004.12.052
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Applied Mathematics and ComputationElsevier

Published: Nov 15, 2005

References

  • Nonlinear Partial Differential Equations in Engineering
    Ames, W.F.
  • A linearized numerical scheme for Burgers-like equations
    Kutluay, S.; Esen, A.
  • Numerical solution of one-dimensional Burgers equation: explicit and exact-explicit finite difference methods
    Kutluay, S.; Bahadir, A.R.; Özdeş, A.

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