Semianalytical method of lines for solving elliptic partial differential equations

被引:16
作者
Subramanian, VR [1 ]
White, RE
机构
[1] Tennessee Technol Univ, Dept Chem Engn, Cookeville, TN 38505 USA
[2] Univ S Carolina, Dept Chem Engn, Columbia, SC 29208 USA
关键词
method of lines; exponential matrix;
D O I
10.1016/j.ces.2003.10.019
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
A semianalytical method of lines is presented for solving elliptic partial differential equations, which are often used to describe steady-state mass and energy transport in solids. The method provides a semianalytical solution for linear equations and can be used to obtain explicit symbolic series solutions in one of the independent variables for non-linear equations. (C) 2003 Published by Elsevier Ltd.
引用
收藏
页码:781 / 788
页数:8
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