Approximate analytic solutions of transient nonlinear heat conduction with temperature-dependent thermal diffusivity
type: Item
instance of: scholarly article
title: Approximate analytic solutions of transient nonlinear heat conduction with temperature-dependent thermal diffusivity
zbMATH Open document ID: 1469.80005
DOI: 10.1155/2014/423421
author: Xianqiang Yang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: A new approach for generating approximate analytic solutions of transient nonlinear heat conduction problems is presented. It is based on an effective combination of Lie symmetry method, homotopy perturbation method, finite element method, and simulation based error reduction techniques. Implementation of the proposed approach is demonstrated by applying it to determine approximate analytic solutions of real life problems consisting of transient nonlinear heat conduction in semi-infinite bars made of stainless steel AISI 304 and mild steel. The results from the approximate analytical solutions and the numerical solution are compared indicating good agreement.
Mathematics Subject Classification ID: 80A19
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 7022364
MaRDI profile type: Publication
Wikidata QID: Q59037872
full work available at URL: https://doi.org/10.1155/2014/423421
OpenAlex ID: W2082212301
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description: scientific article; zbMATH DE number 7022364