Numerical Approzimation of the Solution of an Inverse Heat Conduction Problem Based on Quartic Splines

摘要：

In the paper, a modified numerical approach method based on quartic splines is derived to solve an inverse heat conduction problem with a nonlinear source term. First, we introduce quartic splines and the implicit difference scheme. Second, we give the quartic splines numerical approximate for the unknown function. The surface heat flux history of a heated conducting body will be identified. At the surface points, the accuracy of the proposed method is unproved to second-order. Finally, some numerical results are given to illustrate the efficiency of the new method.

关键词： numerical approzimation quartic splines method inverse heat conduction problem boundary value nonlinear source term

作者: Tangwei Liu Libin Liu Hehua Xu Wen Zhang

作者单位: Faculty of Mathematics and Information Sciences, East China Institute of Technology,Fuzhou, Jiangxi Department of Mathematics and Computer Science, Chi Zhou College, Chizhou, Anhui 247000, P.R. China CAS Key Laboratory of Marginal Sea Geology, South China Sea Institute of Oceanology,Chinese Academy Faculty of Mathematics and Information Sciences, East China Institute of Technology,Fuzhou, Jiangxi

会议类型: 国际会议

会议名称: The First World Congress on Global Optimization in Engineering & Science(第一届工程与科学全局优化国际会议 WCGO2009)

会议地点: 长沙

会议语种:英文

页码: 917-922

在线出版日期: 2009-06-01（万方平台首次上网日期，不代表论文的发表时间）