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

作者：Nguyen Huy Tuan^*; Ngo Van Hoa

来源：Mathematica Slovaca, 2012, 62(5): 937-948.

DOI：10.2478/s12175-012-0056-3

• backward heat problem
• Ill-posed problem
• nonhomogeneous heat
• contraction principle

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.

• 出版日期2012-10