Solution of Certain Equations of Cluster Growth and Fragmentation Kinetics in Maple Package

Article type: Research Article

Authors: Dubovik, V.M.^a | Galperin, A.G.^a | Richvitsky, V.S.^{a; 1} | Lushnikov, A.A.^b

Affiliations: [a] Joint Institute for Nuclear Research, Dubna, 141980 Russia. E-mail: dubovik@thsun1.jinr.ru, galperin@vxjinr.jinr.ru | [b] Karpov Institute of Physical Chemistry, Moscow, Russia. E-mail: alush@cc.nifhi.ac.ru

Correspondence: [1] Corresponding author: V.S. Richvitsky, Joint Institute for Nuclear Research, Dubna, Moscow region, 141980, Russia. E-mail: rqvtsk@cv.jinr.ru. Fax: (096-21) 65145. Tel.: (09621) 63811.

Abstract: Several equations of cluster growth and fragmentation kinetics are solved analytically using a Maple package. A procedure asolve solves this problem. The complete text of the procedure is given.

Keywords: Clustering, Mathematical Modeling, Aggregation, Fragmentation, Generating Function, Differential-difference Equation, Analytical solution, MAPLE package

DOI: 10.3233/JCM-2002-21-210

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 2, no. 1-2, pp. 71-74, 2002