Hermite spectral method for solving inverse heat source problems in multiple dimensions. Issue 9 (2nd September 2017)

• Record Type: Journal Article
• Authors: Meng, Zehong; Zhao, Zhenyu
• Is Part Of: Inverse problems in science and engineering. Volume 25:Issue 9(2017)
• Page Start: 1243
• Page End: 1258
• Publication Date: 2017-09-02
• Subjects: Multidimensional ill-posed problem -- truncation method -- Hermite functions expansion -- discrepancy principle; 65J20; Engineering mathematics -- Periodicals; Inverse problems (Differential equations) -- Periodicals; 620.001515357
• DOI: 10.1080/17415977.2016.1230610
• Languages: English
• ISSNs: 1741-5977

Abstract

Abstract : In this paper, we in multiple dimensions. We present a stability estimate for determining the source term in the multiple dimensional heat equation in an unbounded domain, and the regularization parameter is chosen by a discrepancy principle. Error estimate between the exact solution and its regularization solution is given. Numerical experiments for the one-dimension and two-dimension cases show the effectiveness of the method.