A smoothing spline-based regularization of the initial inverse problem in a two-dimensional heat equation

作者：Masood K^*; Mustafa M T

来源：Proceedings of the Institution of Mechanical Engineers - Part C: Journal of Mechanical Engineering Science , 2009, 223(2): 439-449.

DOI：10.1243/09544062JMES1123

• inverse problem
• smoothing splines
• regularization
• heat equation

A smoothing spline-based method and a hyperbolic heat conduction model is applied to regularize the recovery of the initial profile from a parabolic heat conduction model in two-dimensions. An ill-posed inverse problem involving recovery of the initial temperature distribution from measurements of the final temperature distribution is investigated. A hyperbolic heat conduction model is considered instead of a parabolic model and smoothing splines are applied to regularize the recovered initial profile. The comparison of the proposed procedure and parabolic model is presented graphically by examples.

• 出版日期2009-2
• 单位中国石油大学（北京）