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Identical Approximation Operator and Regularization Method for the Cauchy problem of 2D Heat Conduction Equation
  • Shangqin He,
  • Xiufang Feng
Shangqin He
Ningxia University

Corresponding Author:[email protected]

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Xiufang Feng
Ningxia University
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In this paper, an identical approximate regularization method is extended to the Cauchy problem of two-dimensional heat conduction equation, this kind of problem is severely ill-posed. The convergence rates are obtained under a priori regularization parameter choice rule. Numerical results are presented for two examples with smooth and continuous but not smooth boundaries, and compared the identical approximate regularization solutions which are displayed in paper. The numerical results show that our method is effective, accurate and stable to solve the ill-posed Cauchy problems.
02 Dec 2020Submitted to Mathematical Methods in the Applied Sciences
03 Dec 2020Submission Checks Completed
03 Dec 2020Assigned to Editor
09 Dec 2020Reviewer(s) Assigned
13 Jan 2021Review(s) Completed, Editorial Evaluation Pending
26 Jan 2021Editorial Decision: Revise Major
04 Feb 20211st Revision Received
04 Feb 2021Submission Checks Completed
04 Feb 2021Assigned to Editor
11 Feb 2021Reviewer(s) Assigned
13 May 2021Review(s) Completed, Editorial Evaluation Pending
23 May 2021Editorial Decision: Accept