Application of the Variational Iteration Method for Inverse Stefan Problem with Neumann's Boundary Condition

Authors:
Damian Słota
Affiliations:
Institute of Mathematics, Silesian University of Technology, Gliwice, Poland 44-100
Venue:
ICCS '08 Proceedings of the 8th international conference on Computational Science, Part I
Year:
2008

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Abstract

In this paper, the possibility of application of the variational iteration method for solving the inverse Stefan problem with a Neumann boundary condition is presented. This problem consists in a calculation of temperature distribution as well as in the reconstruction of the function which describes 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 analytical solution.