Citation
Gumel, A. B. and Twizell, E. H.
(1999)
Numerical Analysis of Defects Caused by Thermolysis in an
Infinite Cylindrical Ceramic Moulding.
Pertanika Journal of Science & Technology, 7 (1).
pp. 13-24.
ISSN 0128-7680
Abstract
The second-order parabolic (diffusion) equation, which governs the concentration of monomer during pyrolysis of a cylindrical ceramic moulding containing a polymer which degrades to monomer only, is solved: an infinite
cylinder is considered. The method of lines is used to transform the partial differential equation into a system of first-order linear ordinary differential
equations, the solution of which is seen to satisfy a recurrence relation. The concentration profile at a given time is computed by replacing the matrix
exponential terms in this recurrence relation by a high-order Pade approximate. A parallel algorithm using two processors is developed by taking the partial fraction
decomposition of the Pade approximate and a (matrix) rational expression in the recurrence relation.
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Additional Metadata
| Item Type: |
Article
|
| Publisher: |
Universiti Putra Malaysia Press |
| Keywords: |
numerical analysis defects, thermolysis, in Hnite cylindrical ceramic moulding |
| Depositing User: |
Nur Izzati Mohd Zaki
|
| Date Deposited: |
26 Nov 2009 07:08 |
| Last Modified: |
27 May 2013 07:08 |
| URI: |
http://psasir.upm.edu.my/id/eprint/3485 |
| Statistic Details: |
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