An efficient wavelet-based numerical method to solve nonlinear Fredholm integral equation of second kind with smooth kernel

Authors

Jyotirmoy Mouley, University of Calcutta
Birendra Nath Mandal, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Journal of Mathematical Modeling

Abstract

In this paper, a wavelet-based numerical algorithm is described to obtain approximate numerical solution of a class of nonlinear Fredholm integral equations of second kind having smooth kernels. The algorithm involves approximation of the unknown function in terms of Daubechies scale functions. The properties of Daubechies scale and wavelet functions together with one-point quadrature rule for the product of a smooth function and Daubechies scale functions are utilized to transform the integral equation to a system of nonlinear equations. The efficiency of the proposed method is demonstrated through three illustrative examples.

First Page

299

Last Page

313

DOI

10.22124/JMM.2021.20512.1785

Publication Date

6-1-2022

Recommended Citation

Mouley, Jyotirmoy and Mandal, Birendra Nath, "An efficient wavelet-based numerical method to solve nonlinear Fredholm integral equation of second kind with smooth kernel" (2022). Journal Articles. 3085.
https://digitalcommons.isical.ac.in/journal-articles/3085