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

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  • Yang Yu
  • Xiaochuan Luo
  • Haijuan Cui

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.

Suggested Citation

  • Yang Yu & Xiaochuan Luo & Haijuan Cui, 2015. "The Solution of Two-Phase Inverse Stefan Problem Based on a Hybrid Method with Optimization," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-13, June.
    • Handle: RePEc:hin:jnlmpe:319054
    DOI: 10.1155/2015/319054
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