Choice of the Iterative Method for the Solution of Nonlinear Nonstationary Problem of Heat Conduction for a Half Space in the Course of Radiative Cooling

To solve the nonlinear nonstationary problem of radiative interaction of a half space with an ambient medium, we use the methods of reduction to nonlinear integral equations of the Volterra type, simple iteration, successive approximations, and quasilinearization. We perform the comparative analysis...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2017-01, Vol.220 (2), p.226-234
Main Authors: Shevchuk, V. A., Havrys’, O. P.
Format: Article
Language:English
Subjects:
Conduction cooling
Conduction heating
Conductive heat transfer
Iterative methods
Mathematics
Mathematics and Statistics
Methods
Numerical analysis
Thermal conductivity
Volterra integral equations
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:To solve the nonlinear nonstationary problem of radiative interaction of a half space with an ambient medium, we use the methods of reduction to nonlinear integral equations of the Volterra type, simple iteration, successive approximations, and quasilinearization. We perform the comparative analysis of the efficiency of application of these approaches to the solution of the analyzed class of problems and show that the approach based on the method of quasilinearization guarantees the best possible convergence.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-016-3179-1