Numerische Mathematik

, Volume 63, Issue 1, pp 123-144

First online:

Galerkin-wavelet methods for two-point boundary value problems

  • Jin-Chao XuAffiliated withDepartment of Mathematics, The Pennsylvania State University
  • , Wei-Chang ShannAffiliated withNational Central University

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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.

Mathematics Subject Classification (1991)

65N30 65N13 65F10