Exact solution of an inverse spherical two phase Stefan problem
Mathematical Physics
2017-03-16 v1 Analysis of PDEs
math.MP
Abstract
In this paper, we represent the exact solution of a two phase inverse spherical Stefan problem, where along with unknown temperature functions heat flux function has to be determined. Suggested solution is obtained from new form of integral error function and its properties which are represented in the form of series whose coefficients have to be determined. The model problem can be used for mathematical modeling and investigation of arc phenomena in electrical contacts.
Keywords
Cite
@article{arxiv.1703.04946,
title = {Exact solution of an inverse spherical two phase Stefan problem},
author = {Merey M. Sarsengeldin and Abdullah S. Erdogan and Targyn A. Nauryz and Hassan Nouri},
journal= {arXiv preprint arXiv:1703.04946},
year = {2017}
}