Uniform Convergence of Finite-Difference Schemes for Reaction-Diffusion Interface Problems

2008 ◽  
pp. 654-660
Author(s):  
Ivanka T. Angelova ◽  
Lubin G. Vulkov
Keyword(s):  
Finite Difference ◽  
Uniform Convergence ◽  
Reaction Diffusion ◽  
Difference Schemes ◽  
Interface Problems ◽  
Finite Difference Schemes ◽  
Diffusion Interface

scholarly journals A Comparison of Finite Difference Schemes for Computational Modelling of Biosensors

2007 ◽  
Vol 12 (3) ◽  
pp. 359-369 ◽  
Author(s):  
E. Gaidamauskaitė ◽  
R. Baronas
Keyword(s):  
Finite Difference ◽  
Computational Modelling ◽  
Computation Time ◽  
Reaction Diffusion ◽  
Difference Schemes ◽  
Reaction Diffusion Equations ◽  
Finite Difference Schemes ◽  
Enzymatic Reactions ◽  
Calculation Results ◽  
Kinetics Of

This paper presents a one-dimensional-in-space mathematical model of an amperometric biosensor. The model is based on the reaction-diffusion equations containing a non-linear term related to Michaelis-Menten kinetics of the enzymatic reactions. The stated problem is solved numerically by applying the finite difference method. Several types of finite difference schemes are used. The numerical results for the schemes and couple mathematical software packages are compared and verified against known analytical solutions. Calculation results are compared in terms of the precision and computation time.

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