A Tikhonov-type method for solving a multidimensional inverse heat source problem in an unbounded domain

作者：Xiong Xiangtuan^*; Wang Junxia

来源：Journal of Computational and Applied Mathematics, 2012, 236(7): 1766-1774.

DOI：10.1016/j.cam.2011.10.007

• Inverse problems
• III-posed problems
• Generalized Tikhonov regularization
• Stability estimate
• Error estimate

In this study we prove a stability estimate for an inverse heat source problem in the n-dimensional case. We present a revised generalized Tikhonov regularization and obtain an error estimate. Numerical experiments for the one-dimensional and two-dimensional cases show that the revised generalized Tikhonov regularization works well.

• 出版日期2012-1
• 单位西北师范大学