The Solution of Two-Phase Inverse Stefan Problem Based on a Hybrid Method with Optimization

Yang Yu, Xiaochuan Luo and Haijuan Cui

Mathematical Problems in Engineering, 2015, vol. 2015, 1-13

Abstract:

The two-phase Stefan problem is widely used in industrial field. This paper focuses on solving the two-phase inverse Stefan problem when the interface moving is unknown, which is more realistic from the practical point of view. With the help of optimization method, the paper presents a hybrid method which combines the homotopy perturbation method with the improved Adomian decomposition method to solve this problem. Simulation experiment demonstrates the validity of this method. Optimization method plays a very important role in this paper, so we propose a modified spectral DY conjugate gradient method. And the convergence of this method is given. Simulation experiment illustrates the effectiveness of this modified spectral DY conjugate gradient method.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:319054

DOI: 10.1155/2015/319054

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