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An Inverse Problem of Identifying Two Unknown Parameters in Parabolic Differential Equations

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Abstract

In this article, an efficient method is developed for identifying the unknown time-dependent terms in parabolic differential equations from the boundary measurements. The presented approach is based on the forward finite difference and backward finite difference methods for solving the corresponding problem which has integral conditions. Some numerical examples are presented to show the efficiency and applicability of proposed method.

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Acknowledgements

This research was supported by the Shahid Beheshti University and the Scientific Computations Research Group.

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Correspondence to S. Shekarpaz.

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Shekarpaz, S., Azari, H. An Inverse Problem of Identifying Two Unknown Parameters in Parabolic Differential Equations. Iran J Sci Technol Trans Sci 42, 2045–2052 (2018). https://doi.org/10.1007/s40995-017-0387-6

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  • DOI: https://doi.org/10.1007/s40995-017-0387-6

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