Optimal error bound and Fourier regularization for identifying an unknown source in the heat equation

✍ Scribed by Fang-Fang Dou; Chu-Li Fu; Feng-Lian Yang

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 670 KB
• Volume: 230
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2009.01.008

✦ Synopsis

In this paper we investigate a problem of the identification of an unknown source from one supplementary temperature measurement at a given instant of time for the transient heat equation. Under an a priori condition we answer the question concerning the best possible accuracy for the problem. The Fourier regularization method is utilized for solving the problem, and its convergent rate is analyzed. Numerical results are presented to illustrate the accuracy and efficiency of the method.