Variational iteration method for autonomous ordinary differential systems
Applied Mathematics and Computation
Variational iteration method-Some recent results and new interpretations
Journal of Computational and Applied Mathematics
On the convergence of He's variational iteration method
Journal of Computational and Applied Mathematics
Direct and inverse one-phase Stefan problem solved by the variational iteration method
Computers & Mathematics with Applications
Computers & Mathematics with Applications
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In this paper, we will use the variational iteration method to find an approximate solution of a one-phase Stefan problem. This problem consists in finding the distribution of temperature in the domain and the position of a moving interface. The problem under consideration is at first approximated with a system of differential equations in a domain with known boundary, and next, the system constructed in this way is solved by the variational iteration method. The validity of the approach is verified by comparing the results obtained with an analytical solution.