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http://dx.doi.org/10.14317/jami.2014.267

LEGENDRE MULTIWAVELET GALERKIN METHODS FOR DIFFERENTIAL EQUATIONS  

Zhou, Xiaolin (Department of Information and Computational Sciences, Tan Kah Kee College of Xiamen University, Development Zone of Zhangzhou Investment Promotion Bureau)
Publication Information
Journal of applied mathematics & informatics / v.32, no.1_2, 2014 , pp. 267-284 More about this Journal
Abstract
The multiresolution analysis for Legendre multiwavelets are given, anti-derivatives of Legendre multiwavelets are used for the numerical solution of differential equations, a special form of multilevel augmentation method algorithm is proposed to solve the disrete linear system efficiently, convergence rate of the Galerkin methods is given and numerical examples are presented.
Keywords
Legendre multiwavelets Galerkin methods; differential equations; multilevel augmentation method;
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