Two analytical formulae of the temperature inside a body by using partial lateral and initial data
Analysis of PDEs
2010-02-02 v1
Abstract
This paper considerers the problem of computing the value of a solution of the heat equation at a given point inside a bounded domain after the initial time. It is assumed that the initial value of the solution inside the domain (possibly in a part of the domain) is known; the boundary value and the normal derivative on a part of the boundary of the domain over a finite time interval are known. Two analytical formulae for the problem are given. Both formulae make use of a special fundamental solution having a large parameter of the backward heat equation.
Keywords
Cite
@article{arxiv.0810.1561,
title = {Two analytical formulae of the temperature inside a body by using partial lateral and initial data},
author = {Masaru Ikehata},
journal= {arXiv preprint arXiv:0810.1561},
year = {2010}
}
Comments
1 figure, 26pages