Numerical method for the one phase 1D fractional Stefan problem supported by an artificial neural network
Numerical Analysis
2019-10-02 v2 Numerical Analysis
Abstract
In this paper we present a numerical solution of a one-phase 1D fractional Stefan problem with Caputo derivative with respect to time variable. In the proposed approach, we use a front fixing method and the algorithm of numerical integration supported by an artificial neural network. In the final part, we present some examples illustrating the comparison of the new numerical scheme with its previous version and approximate analytical solution.
Cite
@article{arxiv.1909.13638,
title = {Numerical method for the one phase 1D fractional Stefan problem supported by an artificial neural network},
author = {M. Blasik},
journal= {arXiv preprint arXiv:1909.13638},
year = {2019}
}
Comments
21 pages, 18 figures