Article ID Journal Published Year Pages File Type
7543113 Mathematics and Computers in Simulation 2018 24 Pages PDF
Abstract
In a multi-component system the diffusion of a certain species is dictated not only by its own concentration gradient but also by the concentration gradient of the other species. In this case, the mathematical model is a system of strongly coupled second order elliptic/parabolic partial differential equations. In this paper, we adapt the splitting method for numerical solution of multi-component mass transfer equations, with emphasis on the linear ternary systems. We prove the positive definiteness assumptions for the discrete problem matrices which ensure the stability of the method. The numerical experiments performed confirmed the theoretical results, and the results obtained show good numerical performances.
Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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