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

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

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...

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Main Authors: Yang Yu, Xiaochuan Luo, Haijuan Cui
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/319054
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spelling doaj-4ea350af4d4245ceb68a2c3a85fa4d312020-11-25T01:35:50ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/319054319054The Solution of Two-Phase Inverse Stefan Problem Based on a Hybrid Method with OptimizationYang Yu0Xiaochuan Luo1Haijuan Cui2State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, Liaoning 110819, ChinaState Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, Liaoning 110819, ChinaState Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, Liaoning 110819, ChinaThe 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.http://dx.doi.org/10.1155/2015/319054
collection DOAJ
language English
format Article
sources DOAJ
author Yang Yu
Xiaochuan Luo
Haijuan Cui
spellingShingle Yang Yu
Xiaochuan Luo
Haijuan Cui
The Solution of Two-Phase Inverse Stefan Problem Based on a Hybrid Method with Optimization
Mathematical Problems in Engineering
author_facet Yang Yu
Xiaochuan Luo
Haijuan Cui
author_sort Yang Yu
title The Solution of Two-Phase Inverse Stefan Problem Based on a Hybrid Method with Optimization
title_short The Solution of Two-Phase Inverse Stefan Problem Based on a Hybrid Method with Optimization
title_full The Solution of Two-Phase Inverse Stefan Problem Based on a Hybrid Method with Optimization
title_fullStr The Solution of Two-Phase Inverse Stefan Problem Based on a Hybrid Method with Optimization
title_full_unstemmed The Solution of Two-Phase Inverse Stefan Problem Based on a Hybrid Method with Optimization
title_sort solution of two-phase inverse stefan problem based on a hybrid method with optimization
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description 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.
url http://dx.doi.org/10.1155/2015/319054
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AT xiaochuanluo thesolutionoftwophaseinversestefanproblembasedonahybridmethodwithoptimization
AT haijuancui thesolutionoftwophaseinversestefanproblembasedonahybridmethodwithoptimization
AT yangyu solutionoftwophaseinversestefanproblembasedonahybridmethodwithoptimization
AT xiaochuanluo solutionoftwophaseinversestefanproblembasedonahybridmethodwithoptimization
AT haijuancui solutionoftwophaseinversestefanproblembasedonahybridmethodwithoptimization
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