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, Page 1-9 PDF (953.44 K) | ||||
Document Type: Original Article | ||||
DOI: 10.21608/asat.2001.24752 | ||||
View on SCiNiTO | ||||
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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