1Zentrum Mathematik, Technische Universität München, Boltzmannstraße 3, D-85748, Garching, Germany.
2CAMTP University of Maribor, Krekova Ulica 2, SI-2000, Maribor, Slovenia
AMS subject classification:
In this article, discrete versions of diffusion equations are presented on basic adaptive grids. These equations stem from originally considering discrete versions of exponential functions which have zeros on the negative axis. As a main result, similarity solutions to these difference equations are developed which reduce in the transition to the real axis to the well-known similarity solutions of the conventional difference equation.
