Galerkin-wavelet methods for two-point boundary value problems
- Cite this article as:
- Xu, JC. & Shann, WC. Numer. Math. (1992) 63: 123. doi:10.1007/BF01385851
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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.