Wavelet-Galerkin solutions for differential equations

DOI10.1007/BF02830037zbMath0931.65082OpenAlexW2029392488MaRDI QIDQ4254787

Yuantong Shen, Xuming Yi, Biquan Ye, Jian-Hua Sun

Publication date: 29 June 1999

Published in: Wuhan University Journal of Natural Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02830037

zbMATH Keywords

numerical examplesboundary value problemswavelet-Galerkin methodboundary layer problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (4)

An approximation scheme for a nonlinear diffusion Fisher's equation ⋮ Wavelet based solutions to the Poisson and the Helmholtz equations on the \(n\)-dimensional unit sphere ⋮ Wavelet-Galerkin quasilinearization method for nonlinear boundary value problems ⋮ Wavelet multilevel augmentation method for linear boundary value problems

Cites Work

• Unnamed Item
• Wavelet algorithms for numerical resolution of partial differential equations
• A theory for multiresolution signal decomposition: the wavelet representation
• Orthonormal bases of compactly supported wavelets
• Singularity detection and processing with wavelets
• On the Representation of Operators in Bases of Compactly Supported Wavelets

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