FINITE DIFFERENCE SCHEMES FOR CALCIUM DIFFUSION EQUATIONS

Abstract

Finite difference schemes are considered for a $Ca^{2+}$ diffusion equations, which discribe $Ca^{2+}$ 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.

Keywords

• $Ca^{2+}$ diffusion equation;
• stationary buffers;
• mobile buffers;
• nonlinear finite difference schemes;
• error estimates;
• Lax-Richtmyer equivalence theorem