Approximation of functions of Hőlder class and solution of ODE and PDE by extended Haar wavelet operational matrix

DOI10.1007/s12215-021-00679-7OpenAlexW3206328660WikidataQ114221087 ScholiaQ114221087MaRDI QIDQ2687407

Priya Kumari, Shyam Lal

Publication date: 2 March 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-021-00679-7

zbMATH Keywords

Haar wavelet series\(H_\alpha [0,\mu)\) class\(H_\alpha^{(w)}[0,\mu)\) classextended Haar scaling function \(\phi\)extended Haar wavelet \(\psi\)Haar wavelet operational matrix in \([0, \mu)\)

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for integral equations (65R20) Numerical methods for wavelets (65T60) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Approximation by other special function classes (41A30)

Cites Work

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• Green-Haar wavelets method for generalized fractional differential equations
• On accurate solution of the Fredholm integral equations of the second kind
• Approximation of functions with bounded derivative and solution of Riccati differential equations by Jacobi wavelet operational matrix
• Ten Lectures on Wavelets
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• Haar wavelet method for solving lumped and distributed-parameter systems
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