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On the modelling of solid state reactions.Synthesis of YAG
Authors:Feliksas?Ivanauskas  Aivaras?Kareiva  Email author" target="_blank">Bogdanas?LapcunEmail author
Institution:(1) Institute of Mathematics and Informatics, Akademijos str. 4, Vilnius, 08663, Lithuania;(2) Department of Mathematics and Informatics, Vilnius University, Naugarduko str. 24, Vilnius, 2006, Lithuania;(3) Department of Chemistry, Vilnius University, Naugarduko str. 24, Vilnius, 2006, Lithuania
Abstract:There is a model of yttrium aluminium garnet (YAG) synthesis presented in this article. The developed model is based on nonlinear reaction–diffusion partial differential equations. The solution was carried out numerically using finite difference techniques. We got dependability curves for diffusion and reaction rates and offered possible method to localize values of diffusion and reaction rate constants precisely enough.AMS subject classification: 35K57, 65M06
Keywords:yttrium aluminium garnet  reaction–  diffusion model  finite difference schemes
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