Determination temperature of a backward heat equation with time-dependent coefficients

Mathematica Slovaca

Ngo Hoa¹  Nguyen Tuan¹ 

关键词: backward heat problem;    Ill-posed problem;    nonhomogeneous heat;    contraction principle;   

DOI  :  10.2478/s12175-012-0056-3

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

We introduce the truncation method for solving a backward heat conduction problem with time-dependent coefficients. For this method, we give the stability analysis with new error estimates. Meanwhile, we investigate the roles of regularization parameters in these two methods. These estimates prove that our method is effective.

【 授权许可】

Unknown