Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation
Numerical Analysis
2014-01-31 v2
Abstract
Solutions of the Dirichlet and Robin boundary value problems for the multi-term variable-distributed order diffusion equation are studied. A priori estimates for the corresponding differential and difference problems are obtained by using the method of the energy inequalities. The stability and convergence of the difference schemes follow from these a priory estimates. The credibility of the obtained results is verified by performing numerical calculations for test problems.
Cite
@article{arxiv.1311.2035,
title = {Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation},
author = {A. A. Alikhanov},
journal= {arXiv preprint arXiv:1311.2035},
year = {2014}
}
Comments
21 pages, 6 tables. This version generalizes the previos one