Difference Schemes with Fourth Order Accuracy for Hyperbolic Equations

Аннотация

Two explicit finite difference schemes of fourth order accuracy (in space and time) are presented for the numerical solution of quasi-linear divergence free one-dimensional hyperbolic systems. Both of these schemes are four-step methods, one being a two level scheme, the other using three levels. These algorithms are compared in numerical examples with both second order schemes and with the Kreiss–Oliger method which is fourth order in space and second order in time. The results show that it is most advantageous to use the true fourth order schemes.

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DOI

10.1137/0129029

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