Numerical Solutions of Nonlinear Volterra-Fredholm-Hammerstein Integral Equations Using Sinc Nystrom Method

被引：2

作者：

Ma, Yanying ^{[1
]}

Huang, Jin ^{[1
]}

Wang, Changqing ^{[2
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

[2] Univ Elect Sci & Technol China, Sch Automat Engn, Chengdu 611731, Sichuan, Peoples R China

来源：

INFORMATION TECHNOLOGY AND INTELLIGENT TRANSPORTATION SYSTEMS, VOL 2 | 2017年 / 455卷

基金：

中国国家自然科学基金;

关键词：

Nonlinear integral equations; Volterra-Fredholm-Hammerstein; Sinc function; Nystrom method;

D O I：

10.1007/978-3-319-38771-0_18

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, a numerical method is presented for solving nonlinear Volterra-Fredholm-Hammerstein integral equations. The proposed method takes full advantage of Nystrom method and Sinc quadrature. Nonlinear integral equations is converted into nonlinear algebraic system equations. Error estimation is derived which is shown to has an exponential order of convergence. The accuracy and effectiveness of the proposed method are illustrated by some numerical experiments.

引用

页码：187 / 194

页数：8

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