Explicit and implicit Euler Schems

General Discussion
1

Hi,
i have the following system:

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An explicit Euler scheme of the equations (0.1) and (0.2) give:

real t=0.0;

real dt=0.1;

real tau=1;

real n= tau/dt;

Vh U, I, Udecale, Idecale;

(Udecale -U)/dt = -k2UV

(Idecale-I)/I=k2UV-sigma1*I

An Euler implicit scheme of the equation (0.3) is:

Vh V, Vold

(V-Vold)/dt=Dd^2V/dx^2+k_3I(x,t-ndt)-sigma2V

My question is: How we can obtain three linear equations after using this schems? Is it possible?

Thank’s in advance.