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.
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页数：5
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