In this paper, we shall develop a new approach to an implicit method for solving the first-order hyperbolic systems in two space dimensions. The suggested method gives highly accurate result. The stability condition and the advantages of the considered method compared with the classical methods as Crank-Nicolson method are discussed.
Ismail, H., & Elmekkawy, A. (2001). RESTRICTIVE PADE' APPROXIMATION FOR SOLVING FIRST-ORDER HYPERBOLIC SYSTEMS IN TWO SPACE DIMENSIONS. International Conference on Aerospace Sciences and Aviation Technology, 9(ASAT Conference, 8-10 May 2001), 1-9. doi: 10.21608/asat.2001.24759
MLA
Hassan N. A. Ismail; Adel Y. H. Elmekkawy. "RESTRICTIVE PADE' APPROXIMATION FOR SOLVING FIRST-ORDER HYPERBOLIC SYSTEMS IN TWO SPACE DIMENSIONS", International Conference on Aerospace Sciences and Aviation Technology, 9, ASAT Conference, 8-10 May 2001, 2001, 1-9. doi: 10.21608/asat.2001.24759
HARVARD
Ismail, H., Elmekkawy, A. (2001). 'RESTRICTIVE PADE' APPROXIMATION FOR SOLVING FIRST-ORDER HYPERBOLIC SYSTEMS IN TWO SPACE DIMENSIONS', International Conference on Aerospace Sciences and Aviation Technology, 9(ASAT Conference, 8-10 May 2001), pp. 1-9. doi: 10.21608/asat.2001.24759
VANCOUVER
Ismail, H., Elmekkawy, A. RESTRICTIVE PADE' APPROXIMATION FOR SOLVING FIRST-ORDER HYPERBOLIC SYSTEMS IN TWO SPACE DIMENSIONS. International Conference on Aerospace Sciences and Aviation Technology, 2001; 9(ASAT Conference, 8-10 May 2001): 1-9. doi: 10.21608/asat.2001.24759