Open AccessIdentification of a Time-Dependent Coefficient in Heat Conduction Problem by New Iteration Method
Author(s) -
Huang De-jian,
Yanqing Li,
Donghe Pei
Publication year - 2018
Publication title -
advances in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 23
eISSN - 1687-9139
pISSN - 1687-9120
DOI - 10.1155/2018/4918256
Subject(s) - heat equation , thermal conduction , mathematics , sequence (biology) , integral equation , iterative method , function (biology) , mathematical analysis , mathematical optimization , thermodynamics , physics , evolutionary biology , biology , genetics
This paper investigates the problem of identifying unknown coefficient of time dependent in heat conduction equation by new iteration method. In order to use new iteration method, we should convert the parabolic heat conductive equation into an integral equation by integral calculus and initial condition. This method constructs a convergent sequence of function, which approximates the exact solution with a few iterations and does not need complex calculation. Illustrative examples are given to demonstrate the efficiency and validity.