Numerical solution of the imprecisely defined inverse heat conduction problem  

作　　者：Smita Tapaswini S.Chakraverty Diptiranjan Behera 

机构地区：[1]Department of Mathematics, National Institute of Technology Rourkela

出　　处：《Chinese Physics B》2015年第5期153-162,共10页中国物理B（英文版）

基　　金：the UGC, Government of India, for financial support under the Rajiv Gandhi National Fellowship (RGNF)

摘　　要：This paper investigates the numerical solution of the uncertain inverse heat conduction problem. Uncertainties present in the system parameters are modelled through triangular convex normalized fuzzy sets. In the solution process, double parametric forms of fuzzy numbers are used with the variational iteration method （VIM）. This problem first computes the uncertain temperature distribution in the domain. Next, when the uncertain temperature measurements in the domain are known, the functions describing the uncertain temperature and heat flux on the boundary are reconstructed. Related example problems are solved using the present procedure. We have also compared the present results with those in [Inf. Sci. （2008） 178 1917] along with homotopy perturbation method （HPM） and [Int. Commun. Heat Mass Transfer （2012） 39 30] in the special cases to demonstrate the validity and applicability.This paper investigates the numerical solution of the uncertain inverse heat conduction problem. Uncertainties present in the system parameters are modelled through triangular convex normalized fuzzy sets. In the solution process, double parametric forms of fuzzy numbers are used with the variational iteration method （VIM）. This problem first computes the uncertain temperature distribution in the domain. Next, when the uncertain temperature measurements in the domain are known, the functions describing the uncertain temperature and heat flux on the boundary are reconstructed. Related example problems are solved using the present procedure. We have also compared the present results with those in [Inf. Sci. （2008） 178 1917] along with homotopy perturbation method （HPM） and [Int. Commun. Heat Mass Transfer （2012） 39 30] in the special cases to demonstrate the validity and applicability.

关 键 词：triangular fuzzy number double parametric form of fuzzy numbers uncertain inverse heat con-duction variational iteration method （VIM） 

分 类 号：O241.8[理学—计算数学]