Approximate solution of Abel integral equation in Daubechies wavelet basis

ABSTRACT 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 s...

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Autores principales:	Mouley,Jyotirmoy, Panja,M. M., Mandal,B. N.
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2021
Materias:	Abel integral equation Daubechies scale function Daubechies wavelet Gauss-Daubechies quadrature rule
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000200245
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spelling	oai:scielo:S0719-064620210002002452021-08-18Approximate solution of Abel integral equation in Daubechies wavelet basisMouley,JyotirmoyPanja,M. M.Mandal,B. N. Abel integral equation Daubechies scale function Daubechies wavelet Gauss-Daubechies quadrature rule ABSTRACT 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.23 n.2 20212021-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000200245en10.4067/S0719-06462021000200245
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Abel integral equation Daubechies scale function Daubechies wavelet Gauss-Daubechies quadrature rule
spellingShingle	Abel integral equation Daubechies scale function Daubechies wavelet Gauss-Daubechies quadrature rule Mouley,Jyotirmoy Panja,M. M. Mandal,B. N. Approximate solution of Abel integral equation in Daubechies wavelet basis
description	ABSTRACT 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.
author	Mouley,Jyotirmoy Panja,M. M. Mandal,B. N.
author_facet	Mouley,Jyotirmoy Panja,M. M. Mandal,B. N.
author_sort	Mouley,Jyotirmoy
title	Approximate solution of Abel integral equation in Daubechies wavelet basis
title_short	Approximate solution of Abel integral equation in Daubechies wavelet basis
title_full	Approximate solution of Abel integral equation in Daubechies wavelet basis
title_fullStr	Approximate solution of Abel integral equation in Daubechies wavelet basis
title_full_unstemmed	Approximate solution of Abel integral equation in Daubechies wavelet basis
title_sort	approximate solution of abel integral equation in daubechies wavelet basis
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2021
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000200245
work_keys_str_mv	AT mouleyjyotirmoy approximatesolutionofabelintegralequationindaubechieswaveletbasis AT panjamm approximatesolutionofabelintegralequationindaubechieswaveletbasis AT mandalbn approximatesolutionofabelintegralequationindaubechieswaveletbasis
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Approximate solution of Abel integral equation in Daubechies wavelet basis

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