On the generalized wavelet-Galerkin method

作者:

Highlights:

• A new Galerkin method based on the compactly supported wavelets is proposed.

• It is generalized valid even for differential equations with non-constant coefficients.

• Unlike the traditional wavelet-Galerkin method, it is computationally rather efficient.

摘要

•A new Galerkin method based on the compactly supported wavelets is proposed.•It is generalized valid even for differential equations with non-constant coefficients.•Unlike the traditional wavelet-Galerkin method, it is computationally rather efficient.

论文关键词:Wavelet,Connection coefficients,Generalized Coiflet-type wavelet,Boundary value problems,Wavelet-Galerkin method

论文评审过程:Received 19 January 2017, Revised 25 September 2017, Accepted 25 September 2017, Available online 16 October 2017, Version of Record 6 November 2017.

论文官网地址:https://doi.org/10.1016/j.cam.2017.09.042