J. Korean Math. Soc. 2007; 44(6): 1281-1290
Printed November 1, 2007
Copyright © The Korean Mathematical Society.
Xiang-Tuan Xiong, Chu-Li Fu, and Zhi Qian
Lanzhou University, Lanzhou University, Lanzhou University
We introduce three spectral regularization methods for solving a backward heat conduction problem (BHCP). For the three spectral regularization methods, we give the stability error estimates with optimal order under an a-priori and an a-posteriori regularization parameter choice rule. Numerical results show that our theoretical results are effective.
Keywords: inverse problems, backward heat conduction, spectral regularization method, error estimate
MSC numbers: 35R25, 35R30
2016; 53(5): 1133-1148
2006; 43(5): 1081-1098
2007; 44(6): 1397-1415
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd