Galerkin-wavelet methods for two-point boundary value problems

Jin Chao Xu; Wei Chang Shann

doi:10.1007/BF01385851

Galerkin-wavelet methods for two-point boundary value problems

Jin Chao Xu, Wei Chang Shann

Graduate Institute of Learning and Instruction

Research output: Contribution to journal › Article › peer-review

82 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	123-144
Number of pages	22
Journal	Numerische Mathematik
Volume	63
Issue number	1
DOIs	https://doi.org/10.1007/BF01385851
State	Published - Dec 1992

Keywords

Mathematics Subject Classification (1991): 65N30, 65N13, 65F10

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10.1007/BF01385851

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title = "Galerkin-wavelet methods for two-point boundary value problems",

abstract = "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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AU - Shann, Wei Chang

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AB - 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.

KW - Mathematics Subject Classification (1991): 65N30, 65N13, 65F10

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JO - Numerische Mathematik

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Galerkin-wavelet methods for two-point boundary value problems

Abstract

Keywords

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