Solving First Kind Linear Fredholm Integral Equations with Semi-Smooth Kernel Using 2-Point Half-Sweep Block Arithmetic Mean Method

被引：3

作者：

Muthuvalu, Mohana Sundaram ^{[1
]}

Aruchunan, Elayaraja ^{[1
]}

Sulaiman, Jumat ^{[1
]}

机构：

[1] Univ Teknol PETRONAS, Fac Sci & Informat Technol, Dept Fundamental & Appl Sci, Perak, Malaysia

来源：

INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS 2013 (ICMSS2013) | 2013年 / 1557卷

关键词：

Linear Fredholm integral equations; Semi-smooth kernel; Half-sweep iteration; Block Arithmetic Mean method; Composite closed Newton-Cotes scheme;

D O I：

10.1063/1.4823934

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the application of the 2-Point Half-Sweep Block Arithmetic Mean (2-HSBLAM) iterative method with first order composite closed Newton-Cotes quadrature scheme for solving first kind linear Fredholm integral equations. The formulation and implementation of the method are presented. In addition, numerical results of test problems are also included to verify the performance of the method compared to existing Arithmetic Mean (AM) and 2-Point Full-Sweep Block Arithmetic Mean (2-FSBLAM) methods. From the numerical results, it is noticeable that the 2-HSBLAM method is superior than AM and 2-FSBLAM methods in terms of computational time.

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页码：350 / 354

页数：5