GALERKIN-WAVELET METHODS FOR 2-POINT BOUNDARY-VALUE-PROBLEMS

被引：68
|
作者：
XU, JC [1 ]
SHANN, WC [1 ]
机构：
[1] NATL CENT UNIV, CHUNGLI, TAIWAN
来源：
NUMERISCHE MATHEMATIK | 1992年 / 63卷 / 01期
关键词：
D O I：
10.1007/BF01385851
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Anti-derivatives of wavelets are used for the numerical solution of differential equations. Optimal error estimates are obtained in the applications to two-point boundary value problems of second order. The orthogonal property of the wavelets is used to construct efficient iterative methods for the solution of the resultant linear algebraic systems. Numerical examples are given.
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页码：123 / 144
页数：22
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