Approximate solution of Abel integral equation in Daubechies wavelet basis

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 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.

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Main Authors: Mouley,Jyotirmoy, Panja,M. M., Mandal,B. N.
Format: Digital revista
Language:English
Published: Universidad de La Frontera. Departamento de Matemática y Estadística. 2021
Online Access: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
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country Chile
countrycode CL
component Revista
access En linea
databasecode rev-scielo-cl
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author Mouley,Jyotirmoy
Panja,M. M.
Mandal,B. N.
spellingShingle Mouley,Jyotirmoy
Panja,M. M.
Mandal,B. N.
Approximate solution of Abel integral equation in Daubechies wavelet basis
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
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.
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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