A new numerical method for solving the heat conduction equation in one dimensional nanometer materials

被引：0
|
作者：
Liu Jiachun [1 ]
Wang Peichen [1 ]
机构：
[1] Harbin Huade Univ, Inst Tongshi Educ, Harbin 150025, Peoples R China
来源：
PROGRESS IN MATERIALS AND PROCESSES, PTS 1-3 | 2013年 / 602-604卷
关键词：
Nanometer materials; Heat conduction equation; High Precision; Spectral methods;
D O I：
10.4028/www.scientific.net/AMR.602-604.223
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In order to obtain the numerical solution of the heat conduction equation in one dimensional nanometer materials, we discrete the demand equation by Galerkin-Legendre spectral method and obtain a system of order ordinary differential equations, then we solve this system by using a fifth order five stage A-stable new diagonally implicit Runge-Kutta method. Numerical results are presented to demonstrate the accuracy and efficiency of this method.
引用
收藏
页码：223 / 226
页数：4
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