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

الملخص EN

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.