The truncation regularization method for identifying the initial value of heat equation on a spherical symmetric domain

نویسندگان

  • Fan Yang
  • Ya-Ru Sun
  • Xiao-Xiao Li
  • Cheng-Ye Ma
چکیده

In this paper, identifying the initial value for high dimension heat equation with inhomogeneous source on a spherical symmetric domain is investigated. The truncation regularization method is a powerful technique for solving this inverse problem. We prove the convergence estimates between the regularization solution and the exact solution under the prior and the posterior regularization parameter choice rulers. A numerical example is presented to validate the effectiveness of this method.

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تاریخ انتشار 2018