Approximate solution of abel integral equation in daubechies wavelet basis

Authors

Jyotirmoy Mouley, University of Calcutta
M. M. Panja, Visva-Bharati University
B. N. Mandal, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Cubo

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.

First Page

245

Last Page

264

DOI

10.4067/S0719-06462021000200245

Publication Date

1-1-2021

Comments

Open Access, Gold

Recommended Citation

Mouley, Jyotirmoy; Panja, M. M.; and Mandal, B. N., "Approximate solution of abel integral equation in daubechies wavelet basis" (2021). Journal Articles. 2167.
https://digitalcommons.isical.ac.in/journal-articles/2167