Hybrid Legendre Block-Pulse functions for the numerical solutions of system of nonlinear Fredholm-Hammerstein integral equations

作     者：Sahu, P. K. Ray, S. Saha 

作者机构：Natl Inst Technol Rourkela Dept Math Rourkela 769008 India 

出 版 物：《APPLIED MATHEMATICS AND COMPUTATION》 (应用数学和计算)

年 卷 期：2015年第270卷

页      面：871-878页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Nonlinear Fredholm-Hammerstein integral equations Legendre polynomials Block-Pulse functions Hybrid functions 

摘      要：In this paper, the numerical technique based on hybrid Legendre-Block-Pulse function has been developed to approximate the solution of system of nonlinear Fredholm-Hammerstein integral equations. These functions are formed by the hybridization of Legendre polynomials and Block-Pulse functions. These functions are orthonormal and have compact support on [0,1]. The proposed method reduces the system of integral equations to a system of nonlinear algebraic equations that can be solved easily by any usual numerical method. The numerical results obtained by the presented method have been compared with those obtained by Legendre wavelet method (LWM). Numerical examples are presented to illustrate the accuracy of the method. (C) 2015 Elsevier Inc. All rights reserved.