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Abstract
In this article, the possibility of the application of the homotopy perturbation method for solving the two-phase inverse Stefan problem is presented. This problem consists in the calculation of temperature distribution in the domain, as well as in the reconstruction of the functions describing the temperature and the heat flux on the boundary when the position of the moving interface is known. The validity of the approach is verified by comparing the results obtained with the exact solution.
Notes
Δ – absolute error, δ – relative error.
Δ – absolute error, δ – relative error.
Results for eight-order approximate solution: Δ – absolute error, δ – relative error.