The Method of Lines for Ternary Diffusion Problems

Abstract EN

The method of lines (MOL) for diffusion equations with Neumann boundary conditions is considered.

These equations are transformed by a discretization in space variables into systems of ordinary differential equations.

The proposed ODEs satisfy the mass conservation law.

The stability of solutions of these ODEs with respect to discrete L 2 norms and discrete W 1 , ∞ norms is investigated.

Numerical examples confirm the parabolic behaviour of this model and very regular dynamics.