Justification of a discrete analog of the conjugate-operator model of the heat conduction problem
Sergey B. Sorokin · Journal of Applied and Industrial Mathematics · 2015
For the conjugate-operator model of the heat conduction problem, we construct and justify a discrete analog that preserves the structure of the initial model. The justification of convergence is carried out for a difference scheme in conjugate-operator form. It is shown that the difference scheme converges with second-order accuracy for the cases of discontinuous medium parameters in the Fourier law and nonuniform grids.