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초록· 키워드
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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.
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참고문헌 (12)
참고문헌 신청
A. Iserles / 1984 / Composite methods for numerical solution of stiff systems of ODEs / SIAM J. Numer. Anal. 21 (2) : 340 ~ 351
E. Hairer / 1991 / Solving Ordinary Differential Equations. II / Springer-Verlag
J. C. Butcher / 2006 / On error estimation in general linear methods for stiff ODEs / Appl. Numer. Math. 56 (3) : 345 ~ 357
J. Keener / 1998 / Mathematical Physiology, Interdisciplinary Applied Mathematics, 8 / Springer-Verlag
K. Eriksson / 2003 / Explicit time-stepping for stiff ODEs / SIAM J. Sci. Comput. 25 (4) : 1142 ~ 1157
E. Hairer / 1991 / Solving Ordinary Differential Equations. II / Springer-Verlag
J. C. Butcher / 2006 / On error estimation in general linear methods for stiff ODEs / Appl. Numer. Math. 56 (3) : 345 ~ 357
J. Keener / 1998 / Mathematical Physiology, Interdisciplinary Applied Mathematics, 8 / Springer-Verlag
K. Eriksson / 2003 / Explicit time-stepping for stiff ODEs / SIAM J. Sci. Comput. 25 (4) : 1142 ~ 1157
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