Difference Schemes with Fourth Order Accuracy for Hyperbolic Equations.
Interim rept. no. 2, 1 Jun 73-14 May 74,
TEL-AVIV UNIV (ISRAEL) DEPT OF MATHEMATICAL SCIENCES
Pagination or Media Count:
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 DREISS-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. Author
- Numerical Mathematics
- Fluid Mechanics