Approximate Analytic Solutions of Transient Nonlinear Heat Conduction with Temperature-Dependent Thermal Diffusivity

Autor:	M. T. Mustafa, A. F. M. Arif, Khalid Masood
Jazyk:	angličtina
Rok vydání:	2014
Předmět:	Mathematics QA1-939
Zdroj:	Abstract and Applied Analysis, Vol 2014 (2014)
Druh dokumentu:	article
ISSN:	1085-3375 1687-0409
DOI:	10.1155/2014/423421
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/4679296ad5924113b06c9a44e9b50b69 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF