ISMAIL, H., ELBIETAR, A. (2001). THE RESTRICTIVE PACE APPROXIMATION FOR THE SOLUTION OF SINGULARLY PERTURBED PARABOLIC PDE. test, 9(ASAT Conference, 8-10 May 2001), 1-9. doi: 10.21608/asat.2001.24752
HASSAN N.A. ISMAIL; AMAL A. ELBIETAR. "THE RESTRICTIVE PACE APPROXIMATION FOR THE SOLUTION OF SINGULARLY PERTURBED PARABOLIC PDE". test, 9, ASAT Conference, 8-10 May 2001, 2001, 1-9. doi: 10.21608/asat.2001.24752
ISMAIL, H., ELBIETAR, A. (2001). 'THE RESTRICTIVE PACE APPROXIMATION FOR THE SOLUTION OF SINGULARLY PERTURBED PARABOLIC PDE', test, 9(ASAT Conference, 8-10 May 2001), pp. 1-9. doi: 10.21608/asat.2001.24752
ISMAIL, H., ELBIETAR, A. THE RESTRICTIVE PACE APPROXIMATION FOR THE SOLUTION OF SINGULARLY PERTURBED PARABOLIC PDE. test, 2001; 9(ASAT Conference, 8-10 May 2001): 1-9. doi: 10.21608/asat.2001.24752

THE RESTRICTIVE PACE APPROXIMATION FOR THE SOLUTION OF SINGULARLY PERTURBED PARABOLIC PDE

International Conference on Aerospace Sciences and Aviation Technology
Article 4, Volume 9, ASAT Conference, 8-10 May 2001, May 2001, Pages 1-9    PDF (953.44 K)
Document Type: Original Article
DOI: 10.21608/asat.2001.24752
Authors
HASSAN N.A. ISMAIL1; AMAL A. ELBIETAR2
1Benha Higher Institute of Technology, Benha, Egypt.
2Dept. of Math. Faculty of Science, Benha University, Benha, Egypt.
Abstract
This work is concerned with the numerical treatment of initial-boundary value problem for linear parabolic equations by a small parameter with the time derivative term. This problem is reduced to a stiff system of ODEs in time.The resulting system is solved by applying the restrictive Pade approximation of matrix exponentials. Numerical results are given and the method gives better results compared with the classical Pade approximation treatments.
Keywords
Pade approximation; restrictive Pade approximation; exponential matrix; singularly perturbed equation; finite difference and parabolic partial differential equations
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