内蒙古民族大学学报（自然科学版）2026，Vol.41Issue(1)：75-82,8.DOI:10.14045/j.cnki.15-1220.2026.01.010
带有移动边界的热传导反问题有限点法
Finite Point Method for Inverse Heat Conduction Problem with Moving Boundary
摘要
Abstract
The inverse problem of non-homogeneous heat conduction equation with moving boundaries is studied,and a meshless finite point method based on dynamic node arrangement strategy is used to solve the problem.When there is noisy data,solving the source term is an ill-posed problem.In this paper,combining the smoothing regulariza-tion method,the source term and the exact solution of the equation are simultaneously inverted.Numerical examples show that the method used in the article is stable and effective for solving inverse problems of heat conduction equa-tions with moving boundaries.关键词
热传导反问题/有限点法/移动边界/磨光正则化方法Key words
heat conduction inverse problem/finite point method/mobile boundary/smoothing regularization method分类
数理科学引用本文复制引用
高佳兴,张永富..带有移动边界的热传导反问题有限点法[J].内蒙古民族大学学报（自然科学版）,2026,41(1):75-82,8.基金项目
国家自然科学基金项目(11961053) （11961053）
内蒙古自治区直属高校基本科研业务费项目(GXKY252013) （GXKY252013）
