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
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.
|Keyword:||numerical analysis defects, thermolysis, in Hnite cylindrical ceramic moulding|
|Publisher:||Universiti Putra Malaysia Press|
|Deposited By:||Nur Izzati Mohd Zaki|
|Deposited On:||26 Nov 2009 07:08|
|Last Modified:||27 May 2013 07:08|
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