Choice of iterative method for solving nonlinear nonstationary heat conduction problem for a half-space under radiative cooling
type: Item
instance of: scholarly article
zbMATH Open document ID: 1349.74102
author: V. A. Shevchuk
author: O. P. Havrys'
publication date: 2016-05-23T00:00:00Z
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74S20
zbMATH DE Number: 6584050
zbMATH Keywords: integral Volterra equation
zbMATH Keywords: method of successive approximations
zbMATH Keywords: quasilinearization
MaRDI profile type: Publication
full work available at URL: s10958-016-3179-1
OpenAlex ID: W2555862302
cites work: Q5514046
cites work: Q3998597
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cites work: Computational methods in engineering boundary value problems
cites work: Q4915992
cites work: The nonlinear cooling of a semi-infinite solid --- implicit Runge-Kutta (IRK) methods
cites work: A comparative study between an integral equation approach and a finite difference formulation for heat diffusion with nonlinear boundary conditions
DOI: 10.1007/S10958-016-3179-1
title: Choice of iterative method for solving nonlinear nonstationary heat conduction problem for a half-space under radiative cooling
published in: Matematychni Metody ta Fizyko-Mekhanichni Polya
review text: The authors apply the method of reduction to a nonlinear integral Volterra-type equation, the simple iteration method, and the methods of successive approximations and quasilinearization to solve the problem of nonlinear nonstationary radiative interaction of a half-space with a medium. For this class of problems a comparative analysis of efficiency of the approaches is performed. In terms of this analysis, a better convergence of the approach based on the quasilinearization method is found.
description: scientific article; zbMATH DE number 6584050