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

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posted on 2022-12-05, 09:36 authored by P. Nanda, G.M.M. Reddy, Michael VynnyckyMichael Vynnycky

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 

Funding

SRG/2019/001973

History

Publication

Computers & Mathematics with Applications 123, pp. 216-226

Publisher

Elsevier

Other 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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  • MACSI - Mathematics Application Consortium for Science & Industry

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  • Mathematics & Statistics

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