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Anguelov, R.; Djoko, J. K.; Lubuma, J. M.-S.

Energy properties preserving schemes for Burgers’ equation. (English) Zbl 1144.65056

Numer. Methods Partial Differ. Equations 24, No. 1, 41-59 (2008).
The paper deals with a family of difference schemes for the Burgers’ equation \[ u_t-\nu u_{xx}+uu_x=f \] with the Dirichlet boundary conditions and an initial condition, which are based on a special approximation of the nonlinear term. The stability of these schemes is shown and numerical results are given which demonstrate the efficiency of the proposed difference schemes.
Reviewer: Iwan Gawriljuk (Eisenach)

Cited in 1 Review
Cited in 18 Documents

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35Q53 KdV equations (Korteweg-de Vries equations)

Keywords:

Burgers equation; finite difference schemes; stability; numerical results
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References:

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