10.57647/

A regularization method for solving a nonlinear backward inverse heat conduction problem using discrete mollification method

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  • Soheila Bodaghi1,
  • Ali Zakeri1,
  1. Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.

Received: 05-05-2017

Revised: 23-09-2017

Accepted: 04-11-2017

Published in Issue 27-07-2025

Copyright (c) 2025 Soheila Bodaghi, Ali Zakeri (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Bodaghi, S., & Zakeri, A. (2025). A regularization method for solving a nonlinear backward inverse heat conduction problem using discrete mollification method. International Journal of Mathematical Modelling & Computations, 7(2). https://doi.org/10.57647/
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Abstract

The present essay scrutinizes the application of discrete mollification as a filtering procedure to solve a nonlinear backward inverse heat conduction problem in one dimensional space. These problems are seriously ill-posed. So, we combine discrete mollification and space marching method to address the ill-posedness of the proposed problem. Moreover, a proof of stability and convergence of the aforementioned algorithm is provided. Finally, the results of this paper have been illustrated by some numerical examples.

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