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

Authors: YOUSEF JAFARZADEH, BAGHER KERAMATI

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

Full Text: PDF