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On a class of difference schemes for Burgers equations. (Russian. English summary) Zbl 0633.65123

A class of difference schemes is considered for one- and multi- dimensional Burgers equations. These schemes enable one to determine the solution of an initial-boundary value problem for the Burgers equation making use of grids with a rough spacing and can be carried out for decreasing values of the small parameter in the Burgers equation. Some results of numerical calculations are presented which show the advantages of the schemes.
Reviewer: Z.Dżygadło

MSC:

65Z05 Applications to the sciences
65N22 Numerical solution of discretized equations for boundary value problems involving PDEs
35Q99 Partial differential equations of mathematical physics and other areas of application
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