An Engquist-Osher type finite difference scheme with a discontinuous flux function in space |
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Authors: | Guodong Wang |
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Affiliation: | Department of Mathematics & Physics, Anhui University of Architecture, Hefei, 230601, PR China |
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Abstract: | An Engquist-Osher type finite difference scheme is derived for dealing with scalar conservation laws having a flux that is spatially dependent through a possibly discontinuous coefficient. The new monotone difference scheme is based on introducing a new interface numerical flux function, which is called a generalized Engquist-Osher flux. By means of this scheme, the existence and uniqueness of weak solutions to the scalar conservation laws are obtained and the convergence theorem is established. Some numerical examples are presented and the corresponding numerical results are displayed to illustrate the efficiency of the methods. |
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Keywords: | 65M06 65M12 35L65 |
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