Galerkin-wavelet methods for two-point boundary value problems |
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| Authors: | Jin-Chao Xu Wei-Chang Shann |
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| Institution: | (1) Department of Mathematics, The Pennsylvania State University, 16802 University Park, PA, USA;(2) National Central University, Chung-Li, Taiwan, R.O.C. |
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| Abstract: | Summary 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.This work was supported by National Science Foundation |
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| Keywords: | 65N30 65N13 65F10 |
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