An improved regularization method for initial inverse problem in 2-D heat equation

作者：Nguyen Huy Tuan^*; Tran Thanh Binh; Nguyen Dang Minh; Truong Trong Nghia

来源：Applied Mathematical Modelling, 2015, 39(2): 425-437.

DOI：10.1016/j.apm.2014.05.014

• Backward heat problem
• Ill-posed problem
• Quasi-boundary value methods
• Quasi-reversibility methods

The main purpose of this article is to present a new method to regularize the initial inverse heat problem with inhomogeneous source. This problem is well known to be severely ill-posed. There are many regularization methods with error estimator of logarithmic order. An improved regularization method is proposed. The error estimates of Holder type are obtained. Some numerical tests illustrate that the proposed method is feasible and effective.

• 出版日期2015-1-15