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ABSOLUTELY STABLE EXPLICIT SCHEMES FOR REACTION SYSTEMS

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초록

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.

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.

참고문헌 (12)

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  11. M. Tokman, "Efficient integration of large stiff systems of ODEs with exponential propagation iterative (EPI) methods", J. Comput. Phys., 213(2), pp.748~776 (2006)
  12. W.Walter, "Ordinary Differential Equations, Graduate Texts in Mathematics, 182. Readings in Mathematics" (1998), Springer-Verlag

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