# Computational identification of the boundary condition in the heat transfer problems

Keywords:
inverse boundary problem, inverse Stefan problem, finite difference method, marching method

### Abstract

The inverse boundary-value problems of heat transfer are of great practical importance, and the work of many authors is devoted to the numerical methods of their solution. We consider a direct method for solving inverse boundary-value problems for a one-dimensional parabolic equation that decomposes a ﬁnite-diﬀerence analogue of the problem at each time layer. With the help of the proposed numerical solution, we solve the inverse boundary-value problems with a ﬁxed boundary, with a moving boundary, and the Stefan problem. The results of numerical calculations are discussed.

### References

Received

31-03-2017

How to Cite

*Mathematical notes of NEFU*, 24(2), pp. 63-74. doi: https://doi.org/10.25587/SVFU.2017.2.9246.

Issue

Section

Mathematical Modeling

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