Approximate solution of Abel integral equation in Daubechies wavelet basis

Autor:	Jyotirmoy Mouley, M. M. Panja, B. N. Mandal
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	abel integral equation daubechies scale function daubechies wavelet gauss-daubechies quadrature rule Mathematics QA1-939
Zdroj:	Cubo, Vol 23, Iss 2, Pp 245-264 (2021)
Druh dokumentu:	article
ISSN:	0719-0646 0716-7776
DOI:	10.4067/S0719-06462021000200245
Popis:	This paper presents a new computational method for solving Abel integral equation (both first kind and second kind). The numerical scheme is based on approximations in Daubechies wavelet basis. The properties of Daubechies scale functions are employed to reduce an integral equation to the solution of a system of algebraic equations. The error analysis associated with the method is given. The method is illustrated with some examples and the present method works nicely for low resolution.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/5b0f37fd85ed414f9d08174477571630 Zobrazit plný text záznamu View record in DOAJ