**Authors**

Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran

**Abstract**

In this paper a nonlinear inverse heat conduction problem in one dimensional space is considered. This

inverse problem reformulate as an auxiliary inverse problem. Ill-posedness is identified as one of the main

characteristics of the inverse problems. So, a numerical algorithm based on the combination of discrete

mollification 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, the

efficiency of this method is illustrated by a numerical example.

inverse problem reformulate as an auxiliary inverse problem. Ill-posedness is identified as one of the main

characteristics of the inverse problems. So, a numerical algorithm based on the combination of discrete

mollification 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, the

efficiency of this method is illustrated by a numerical example.

**Keywords**

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June 2016

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