Approximate Analytic Solutions for the Two-Phase Stefan Problem Using the Adomian Decomposition Method
Joint Authors
Qin, Xiao-Ying
Yin, Mao-Ren
Duan, Yue-Xing
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-18
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
An Adomian decomposition method (ADM) is applied to solve a two-phase Stefan problem that describes the pure metal solidification process.
In contrast to traditional analytical methods, ADM avoids complex mathematical derivations and does not require coordinate transformation for elimination of the unknown moving boundary.
Based on polynomial approximations for some known and unknown boundary functions, approximate analytic solutions for the model with undetermined coefficients are obtained using ADM.
Substitution of these expressions into other equations and boundary conditions of the model generates some function identities with the undetermined coefficients.
By determining these coefficients, approximate analytic solutions for the model are obtained.
A concrete example of the solution shows that this method can easily be implemented in MATLAB and has a fast convergence rate.
This is an efficient method for finding approximate analytic solutions for the Stefan and the inverse Stefan problems.
American Psychological Association (APA)
Qin, Xiao-Ying& Duan, Yue-Xing& Yin, Mao-Ren. 2014. Approximate Analytic Solutions for the Two-Phase Stefan Problem Using the Adomian Decomposition Method. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-468438
Modern Language Association (MLA)
Qin, Xiao-Ying…[et al.]. Approximate Analytic Solutions for the Two-Phase Stefan Problem Using the Adomian Decomposition Method. Journal of Applied Mathematics No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-468438
American Medical Association (AMA)
Qin, Xiao-Ying& Duan, Yue-Xing& Yin, Mao-Ren. Approximate Analytic Solutions for the Two-Phase Stefan Problem Using the Adomian Decomposition Method. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-468438
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-468438