内蒙古民族大学学报（自然科学版）2024，Vol.39Issue(4)：83-91,9.DOI:10.14045/j.cnki.15-1220.2024.04.015
带有移动边界的热传导方程反问题基本解方法
The Method of Fundamental Solutions for Inverse Problem of Heat Conduction Equation with Moving Boundary
摘要
Abstract
The inverse problem of non-homogeneous heat conduction equation with moving boundary is studied.The fundamental solution method is used to solve the problem.The non-homogeneous heat transfer equation is trans-formed into homogeneous equation by integral transformation,and the ill-defined equations are solved by regulariza-tion method based on singular value decomposition.The unknown heat source term and some initial values in the equation are simultaneously retrieved.Numerical examples show that the proposed method is stable and effective for solving the inverse problem of the heat transfer equation with moving boundary.关键词
移动边界/基本解方法/热传导方程/反问题Key words
moving boundary/method of fundamental solutions/heat conduction equation/inverse problem分类
数理科学引用本文复制引用
刘丽娟,张永富..带有移动边界的热传导方程反问题基本解方法[J].内蒙古民族大学学报（自然科学版）,2024,39(4):83-91,9.基金项目
国家自然科学基金项目(11961053) （11961053）
内蒙古民族大学博士科研启动基金项目(BS424) （BS424）
