# Numerical method for solving boundary inverse problem for one-dimensional parabolic equation

Keywords:
boundary inverse problem, ﬁnite diﬀerence method, numerical solution, parabolic partial diﬀerential equation

### Abstract

We consider a numerical method for solving boundary inverse problem using the implicit diﬀerence scheme for approximation by time and ﬁnite diﬀerence method for the boundary inverse problem. A numerical solution to the boundary inverse problem is determined by special decomposition which transforms the problem into two standard problems. We present the results of numerical experiments, including those with random errors in the input data, which conﬁrm the capabilities of the proposed computational algorithms for solving this boundary inverse problem.

### References

Received

10-03-2017

How to Cite

*Mathematical notes of NEFU*, 24(2), pp. 107-116. doi: https://doi.org/10.25587/SVFU.2017.2.9250.

Issue

Section

Mathematical Modeling

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