Solution of the two-dimensional heat equation for a square in terms of elliptic functions

被引：7

作者：

Kurt, Nurcan ^{[1
]}

机构：

[1] Dokuz Eylul Univ, Izmir Vocat Sch, Izmir, Turkey

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2008年 / 345卷 / 03期

关键词：

heat equation; Dirichlet problem; elliptic function; elliptic integral; green function;

D O I：

10.1016/j.jfranklin.2007.09.003

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this study, an alternative method is presented for the solution of two-dimensional heat equation in a square region. In this method, the solution function of the problem is based on the Green function, and therefore on elliptic functions. The numerical results have been computed for an application example and compared with the results of the well-known method of separation of variables and the finite elements method. The comparison study shows that the present method gives better results than those of the other methods. (C) 2007 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：303 / 317

页数：15

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