The method of lines for ternary diffusion problems (Q1724304)

Summary: 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 \(L\) norms and discrete \(W^{1, \infty}\) norms is investigated. Numerical examples confirm the parabolic behaviour of this model and very regular dynamics.