Two Simple Numerical Methods for the Free Boundary in One-Phase Stefan Problem
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-02
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We present two simple numerical methods to find the free boundary in one-phase Stefan problem.
The work is motivated by the necessity for better understanding of the solution surface (temperatures) near the free boundary.
We formulate a log-transform function with the unfixed and fixed free boundary that has Lipschitz character near free boundary.
We solve the quadratic equation in order to locate the free boundary in a time-recursive way.
We also present several numerical results which illustrate a comparison to other methods.
American Psychological Association (APA)
Kim, Seung Hyun. 2014. Two Simple Numerical Methods for the Free Boundary in One-Phase Stefan Problem. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-496992
Modern Language Association (MLA)
Kim, Seung Hyun. Two Simple Numerical Methods for the Free Boundary in One-Phase Stefan Problem. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-496992
American Medical Association (AMA)
Kim, Seung Hyun. Two Simple Numerical Methods for the Free Boundary in One-Phase Stefan Problem. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-496992
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496992
