Solution of Hallen's integral equation using multiwavelets

被引：42
|
作者：
Shamsi, A
Razzaghi, A [1 ]
机构：
[1] Amirkabir Univ Technol, Dept Appl Math, Tehran, Iran
[2] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA
来源：
COMPUTER PHYSICS COMMUNICATIONS | 2005年 / 168卷 / 03期
关键词：
multiwavelets; Hallen's integral equation; alpert; solution;
D O I：
10.1016/j.cpc.2005.01.016
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
An effective method based upon Alpert multiwavelets is proposed for the solution of Hallen's integral equation. The properties of Alpert multiwavelets are first given. These wavelets are utilized to reduce the solution of Hallen's integral equation to the solution of sparse algebraic equations. In order to save memory requirement and computation time, a threshold procedure is applied to obtain algebraic equations. Through numerical examples, performance of the present method is investigated concerning the convergence and the sparseness of resulted rnatrix equation. (c) 2005 Elsevier B.V. All rights reserved.
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页码：187 / 197
页数：11
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