Numerical treatment and comparative study for Fredholm Integral equation of second kind

Saumya Ranjan Jena; Mitali Madhumita Acharya; Arjun Kumar Paul; Bhupati Bhusan Mishra; Pravat kumar Rout; Arjun Singh

Saumya Ranjan Jena KIIT Deemed to be University, Bhubaneswar-751024
Mitali Madhumita Acharya KIIT Deemed to be University, Bhubaneswar-751024
Arjun Kumar Paul KIIT Deemed to be University, Bhubaneswar-751024
Bhupati Bhusan Mishra KIIT Deemed to be University, Bhubaneswar-751024
Pravat kumar Rout KIIT Deemed to be University, Bhubaneswar-751024
Arjun Singh KIIT Deemed to be University, Bhubaneswar-751024

Abstract

This article is related to the numerical treatment of Fredholm integral equation of the second kind without using an over determined system of linear equations as well as the least square method. The integral equations are approximated by means of a polynomial that is obtained by Gaussian quadrature environment. The applicability of the proposed scheme is verified numerically through three tests in detail and compared with others and to existing results.