A mollified solution of a nonlinear inverse heat conduction problem

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  • Soheila Bodaghi,
  • Ali Zakeri,

Published in Issue 2025-11-09

How to Cite

A mollified solution of a nonlinear inverse heat conduction problem. (2025). Communications in Nonlinear Analysis, 2(2). https://oiccpress.com/cna/article/view/17890

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Abstract

In this paper a nonlinear inverse heat conduction problem in one dimensional space is considered. Thisinverse problem reformulate as an auxiliary inverse problem. Ill-posedness is identified as one of the maincharacteristics of the inverse problems. So, a numerical algorithm based on the combination of discretemollification and space marching method is applied to conquer ill-posedness of the auxiliary inverse problem.Moreover, a proof of stability and convergence of the aforementioned algorithm is provided. Eventually, theefficiency of this method is illustrated by a numerical example.

Keywords

  • Nonlinear inverse heat conduction problem,
  • discrete mollification,
  • space marching method,
  • stability,
  • convergence
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References

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