East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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FINITE DIFFERENCE SCHEMES FOR A GENERALIZED CALCIUM DIFFUSION EQUATION

  • Choo, Sang-Mok (SCHOOL OF ELECTRONICAL ENGINEERING, UNIVERSITY OF ULSAN) ;
  • Lee, Nam-Yong (DEPARTMENT OF MATHEMATICS & STATISTICS, MINNESOTA STATE UNIVERSITY)
  • Published : 2008.09.30
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Abstract

Finite difference schemes are considered for a $Ca^{2+}$ diffusion equations with damping and convection terms, which describe $Ca^{2+}$ buffering by using stationary and mobile buffers. Stability and $L^{\infty}$ error estimates of approximate solutions for the corresponding schemes are obtained using the extended Lax-Richtmyer equivalence theorem.

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