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Inverse two-phase nonlinear Stefan and Cauchy-Stefan problems: A phase-wise approach

Date
2022
Abstract
We develop a novel phase-wise sequential numerical approach based on the method of fundamental solutions (MFS) for inverse two-phase nonlinear Stefan and Cauchy-Stefan problems in one dimension (1D). By treating each phase independently, the inverse two-phase nonlinear Stefan problem splits into two single-phase inverse problems: an inverse nonlinear boundary identification problem and an inverse linear one-phase Stefan problem. Along with the reconstruction of boundary data, the simultaneous reconstruction of the boundary and initial data is also considered. Numerical investigations show the robustness and efficiency of the proposed method in reconstructing the data
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Publisher
Elsevier
Citation
Computers & Mathematics with Applications 123, pp. 216-226
Collections
Mathematics & Statistics
MACSI - Mathematics Application Consortium for Science & Industry
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Vynnycky_2022_Inverse.pdf
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Keywords
Two-phase, Inverse Stefan problem, Boundary identification problem, Mathematical sciences
ULRR Identifiers
https://doi.org/10.34961/researchrepository-ul.21673529
 https://researchrepository.ul.ie/handle/10344/31087
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Funding Information
They also acknowledge DST, New Delhi, India, for providing facilities through DST-FIST lab, Department of Mathematics, BITS-Pilani, Hyderabad Campus, where part of this work was carried out
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Article
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https://creativecommons.org/licenses/by-nc-sa/4.0/
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