Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 2010.01.01
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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.

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References

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