Unconditional Stability of a Numerical Method for the Dual-Phase-Lag Equation
Joint Authors
Castro, M. A.
Martín, J. A.
Rodríguez, F.
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-03-30
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The stability properties of a numerical method for the dual-phase-lag (DPL) equation are analyzed.
The DPL equation has been increasingly used to model micro- and nanoscale heat conduction in engineering and bioheat transfer problems.
A discretization method for the DPL equation that could yield efficient numerical solutions of 3D problems has been previously proposed, but its stability properties were only suggested by numerical experiments.
In this work, the amplification matrix of the method is analyzed, and it is shown that its powers are uniformly bounded.
As a result, the unconditional stability of the method is established.
American Psychological Association (APA)
Castro, M. A.& Martín, J. A.& Rodríguez, F.. 2017. Unconditional Stability of a Numerical Method for the Dual-Phase-Lag Equation. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-5.
https://search.emarefa.net/detail/BIM-1189614
Modern Language Association (MLA)
Castro, M. A.…[et al.]. Unconditional Stability of a Numerical Method for the Dual-Phase-Lag Equation. Mathematical Problems in Engineering No. 2017 (2017), pp.1-5.
https://search.emarefa.net/detail/BIM-1189614
American Medical Association (AMA)
Castro, M. A.& Martín, J. A.& Rodríguez, F.. Unconditional Stability of a Numerical Method for the Dual-Phase-Lag Equation. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-5.
https://search.emarefa.net/detail/BIM-1189614
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1189614
