RESTRICTIVE PADE' APPROXIMATION FOR SOLVING SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEM FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION
Ismail, H., Elmekkawy, A. (2001). RESTRICTIVE PADE' APPROXIMATION FOR SOLVING SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEM FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION. EKB Journal Management System, 9(ASAT Conference, 8-10 May 2001), 1-9. doi: 10.21608/asat.2001.24760
Hassan N. A. Ismail; Adel Y. H. Elmekkawy. "RESTRICTIVE PADE' APPROXIMATION FOR SOLVING SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEM FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION". EKB Journal Management System, 9, ASAT Conference, 8-10 May 2001, 2001, 1-9. doi: 10.21608/asat.2001.24760
Ismail, H., Elmekkawy, A. (2001). 'RESTRICTIVE PADE' APPROXIMATION FOR SOLVING SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEM FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION', EKB Journal Management System, 9(ASAT Conference, 8-10 May 2001), pp. 1-9. doi: 10.21608/asat.2001.24760
Ismail, H., Elmekkawy, A. RESTRICTIVE PADE' APPROXIMATION FOR SOLVING SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEM FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION. EKB Journal Management System, 2001; 9(ASAT Conference, 8-10 May 2001): 1-9. doi: 10.21608/asat.2001.24760

RESTRICTIVE PADE' APPROXIMATION FOR SOLVING SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEM FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION

International Conference on Aerospace Sciences and Aviation Technology
Article 6, Volume 9, ASAT Conference, 8-10 May 2001, May 2001, Page 1-9  XML PDF (1.21 MB)
Document Type: Original Article
DOI: 10.21608/asat.2001.24760
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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
This paper is concerned with the numerical treatment of the first-order hyperbolic partial differential equation by small parameter with the time derivative term. This problem is reduced to stiff system of ODE, in time. The resulting system is solved by the restrictive Pad& approximation. The stability condition and the en-or upper bound are introduced. The numerical results are given and the considered method gives better results compared with the classical advantages of the considered method compared with the classical Pade' approximation.
Keywords
Pade' approximation; Restrictive Pade' approximation; finite difference and hyperbolic partial differential equations
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