Title: Haar wavelet collocation method for solving the system of linear Fredholm integral equations with constant coefficients
Authors: A. Padmanabha Reddy; C. Sateesha; Ather Aziz Raina; S.H. Manjula
Addresses: Department of Studies in Mathematics, V.S.K. University, Ballari-583104, India ' Department of Mathematics, R.T.E. Society's Rural Engineering College Hulkoti, Gadag, Karnataka, 582205, India ' Department of Applied Mathematics, Government Degree College Akhnoor, Jammu, Jammu and Kashmir, India ' Department of Mathematics, KLE's J.T. College, Gadag, Karnataka, 582101, India
Abstract: In this paper, we propose different procedure to solve the problem of linear system of Fredholm integral equations with constant coefficients. The proposed method gives the rapidly convergent successive approximation to the analytic solution. The reliability and efficiency of the method are illustrated by investigating the convergence results for some problems. In fact, comparisons are made between the contributed scheme and the generated results.
Keywords: Haar wavelets; system of Fredholm integral equations; collocation method.
DOI: 10.1504/IJMRS.2021.115137
International Journal of Mechanisms and Robotic Systems, 2021 Vol.5 No.1/2, pp.168 - 184
Received: 08 Apr 2019
Accepted: 11 Jun 2019
Published online: 20 May 2021 *