Convergence Analysis of Parabolic Basis Functions for Solving Systems of Linear and Nonlinear Fredholm Integral Equations

Authors

YOUSEF JAFARZADEH
BAGHER KERAMATI

DOI

10.3906/mat-1507-8

Abstract

In this paper, a computational method based on a hybrid of parabolic and block-pulse functions is proposed to solve a system of linear and special nonlinear Fredholm integral equations of the second kind. The convergence and error bound are analyzed. Numerical examples are given to illustrate the efficiency of the method.

Keywords

Hybrid, parabolic functions, block-pulse functions, Fredholm integral equations, fixed-point iteration method, error bound analysis

First Page

787

Last Page

796

Recommended Citation

JAFARZADEH, YOUSEF and KERAMATI, BAGHER (2017) "Convergence Analysis of Parabolic Basis Functions for Solving Systems of Linear and Nonlinear Fredholm Integral Equations," Turkish Journal of Mathematics: Vol. 41: No. 4, Article 2. https://doi.org/10.3906/mat-1507-8
Available at: https://journals.tubitak.gov.tr/math/vol41/iss4/2