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http://dx.doi.org/10.4134/JKMS.2010.47.1.165

ABSOLUTELY STABLE EXPLICIT SCHEMES FOR REACTION SYSTEMS  

Lee, Chang-Ock (Department of Mathematical Sciences Korea Advanced Institute of Science and Technology)
Leem, Chae-Hun (Department of Physiology College of Medicine)
Park, Eun-Hee (Department of Mathematical Sciences Korea Advanced Institute of Science and Technology)
Youm, Jae-Boum (Department of Physiology College of Medicine)
Publication Information
Journal of the Korean Mathematical Society / v.47, no.1, 2010 , pp. 165-187 More about this Journal
Abstract
We introduce two numerical schemes for solving a system of ordinary differential equations which characterizes several kinds of linear reactions and diffusion from biochemistry, physiology, etc. The methods consist of sequential applications of the simple exact solver for a reversible reaction. We prove absolute stability and convergence of the proposed explicit methods. One is of first order and the other is of second order. Numerical results are included.
Keywords
reaction system; chemical diffusion; absolutely stable scheme; explicit scheme;
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