, Volume 63, Issue 1, pp 123-144

Galerkin-wavelet methods for two-point boundary value problems

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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