RESTRICTIVE PADE' APPROXIMATION FOR SOLVING FIRST-ORDER HYPERBOLIC SYSTEMS IN TWO SPACE DIMENSIONS
Ismail, H., Elmekkawy, A. (2001). RESTRICTIVE PADE' APPROXIMATION FOR SOLVING FIRST-ORDER HYPERBOLIC SYSTEMS IN TWO SPACE DIMENSIONS. EKB Journal Management System, 9(ASAT Conference, 8-10 May 2001), 1-9. doi: 10.21608/asat.2001.24759
Hassan N. A. Ismail; Adel Y. H. Elmekkawy. "RESTRICTIVE PADE' APPROXIMATION FOR SOLVING FIRST-ORDER HYPERBOLIC SYSTEMS IN TWO SPACE DIMENSIONS". EKB Journal Management System, 9, ASAT Conference, 8-10 May 2001, 2001, 1-9. doi: 10.21608/asat.2001.24759
Ismail, H., Elmekkawy, A. (2001). 'RESTRICTIVE PADE' APPROXIMATION FOR SOLVING FIRST-ORDER HYPERBOLIC SYSTEMS IN TWO SPACE DIMENSIONS', EKB Journal Management System, 9(ASAT Conference, 8-10 May 2001), pp. 1-9. doi: 10.21608/asat.2001.24759
Ismail, H., Elmekkawy, A. RESTRICTIVE PADE' APPROXIMATION FOR SOLVING FIRST-ORDER HYPERBOLIC SYSTEMS IN TWO SPACE DIMENSIONS. EKB Journal Management System, 2001; 9(ASAT Conference, 8-10 May 2001): 1-9. doi: 10.21608/asat.2001.24759

RESTRICTIVE PADE' APPROXIMATION FOR SOLVING FIRST-ORDER HYPERBOLIC SYSTEMS IN TWO SPACE DIMENSIONS

International Conference on Aerospace Sciences and Aviation Technology
Article 5, Volume 9, ASAT Conference, 8-10 May 2001, May 2001, Page 1-9  XML PDF (1.29 MB)
Document Type: Original Article
DOI: 10.21608/asat.2001.24759
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Authors
Hassan N. A. Ismail1; Adel Y. H. Elmekkawy2
1Benha Higher Institute of Technology, Benha, Egypt.
2Dept of Math. Faculty of Education, Ain Shams University.
Abstract
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.
Keywords
Pade' approximation; Restrictive Pade' approximation; finite difference and hyperbolic partial differential equations
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