Unconditional Stability of a Numerical Method for the Dual-Phase-Lag Equation

被引：3
|
作者：
Castro, M. A. [1 ]
Martin, J. A. [1 ]
Rodriguez, F. [1 ]
机构：
[1] Univ Alicante, Dept Appl Math, Apdo 99, E-03080 Alicante, Spain
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2017年 / 2017卷
关键词：
FINITE-DIFFERENCE SCHEME; HEAT-TRANSPORT EQUATION; LEQUATION; MODEL;
D O I：
10.1155/2017/1650380
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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.
引用
收藏
页数：5
相关论文
共 50 条
  • [21] On the dual-phase-lag thermoelasticity theory
    El-Karamany, Ahmed S.
    Ezzat, Magdy A.
    MECCANICA, 2014, 49 (01) : 79 - 89
  • [22] Numerical study of dual-phase-lag heat conduction in a thermal barrier coating with a hybrid method
    Yang, Yu-Ching
    Chen, Wen-Lih
    Yeh, Tzu-Sheng
    Chang, Win-Jin
    Lee, Haw-Long
    JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2016, 38 (01) : 287 - 296
  • [23] New stability result for bresse system with dual-phase-lag thermoelasticity
    Bouraoui, Hamed Abderrahmane
    Djebabla, Abdelhak
    El Arwadi, Toufic
    APPLICABLE ANALYSIS, 2024, 103 (16) : 3049 - 3066
  • [24] Stability and Second Law of Thermodynamics in dual-phase-lag heat conduction
    Fabrizio, Mauro
    Lazzari, Barbara
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2014, 74 : 484 - 489
  • [25] Thermodynamic stability and temperature overshooting in dual-phase-lag heat transfer
    Jou, D
    Criado-Sancho, M
    PHYSICS LETTERS A, 1998, 248 (2-4) : 172 - 178
  • [26] Numerical solution of non-linear dual-phase-lag bioheat transfer equation within skin tissues
    Kumar, Dinesh
    Kumar, P.
    Rai, K. N.
    MATHEMATICAL BIOSCIENCES, 2017, 293 : 56 - 63
  • [27] A method for predicting thermal waves in dual-phase-lag heat conduction
    Kang, Zhanxiao
    Zhu, Pingan
    Gui, Dayong
    Wang, Liqiu
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2017, 115 : 250 - 257
  • [28] A Numerical-Analytical Method for Time-Fractional Dual-Phase-Lag Models of Heat Transfer
    Lin, Ji
    Reutskiy, Sergiy
    Feng, Wenjie
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2022, 14 (03) : 666 - 702
  • [29] Qualitative aspects in dual-phase-lag thermoelasticity
    Quintanilla, R
    Racke, R
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2006, 66 (03) : 977 - 1001
  • [30] Dual-phase-lag heat conduction with microtemperatures
    Liu, Zhuangyi
    Quintanilla, Ramon
    Wang, Yang
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2021, 101 (12):
12345