Numerical solution of high-order differential equations by using periodized Shannon wavelets

DOI10.1016/j.apm.2013.10.030zbMath1427.65136OpenAlexW2068267110MaRDI QIDQ1630155

Fumin Li, Zhi Shi

Publication date: 7 December 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.10.030

zbMATH Keywords

approximationdifferential equationShannon waveletconnection coefficient

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (4)

A new exponential Jacobi pseudospectral method for solving high-order ordinary differential equations ⋮ Shannon–Cosine wavelet spectral method for solving fractional Fokker–Planck equations ⋮ The LS-SVM algorithms for boundary value problems of high-order ordinary differential equations ⋮ Some results on Shannon wavelets and wavelets frames

Cites Work

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• Shannon wavelets theory
• Solution of 10th-order boundary value problems using non-polynomial spline technique
• An effective spectral collocation method for the direct solution of high-order ODEs
• Solving high-order partial differential equations with indirect radial basis function networks

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