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A Tikhonov-type method for solving a multidimensional inverse heat source problem in an unbounded domain
Authors:Xiangtuan Xiong  Junxia Wang
Institution:
  • Department of Mathematics, Northwest Normal University, Lanzhou, Gansu, 730070, People’s Republic of China
  • Abstract: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.
    Keywords:Inverse problems  Ill-posed problems  Generalized Tikhonov regularization  Stability estimate  Error estimate
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