NUMERICAL SOLUTION OF LINEAR FREDHOLM INTEGRAL EQUATIONS SYSTEM BY RATIONALIZED HAAR FUNCTIONS METHOD

K. MALEKNEJAD; F. MIRZAEE

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NUMERICAL SOLUTION OF LINEAR FREDHOLM INTEGRAL EQUATIONS SYSTEM BY RATIONALIZED HAAR FUNCTIONS METHOD

机译：线性Fredholm积分方程组的有理Haar函数数值解。

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摘要

In this paper rationalized Haar functions are developed to approximate the solutions of the linear Fredholm integral equations system. Properties of rationalized Haar functions are first presented, the operational matrix of the product of rationalized Haar functions vector is utilized to reduce the computation of Fredholm integral equations system to some algebraic equations. Finally, numerical result are given which support the theoretical results.

机译：本文开发了合理化的Haar函数，以近似线性Fredholm积分方程组的解。首先介绍了有理Haar函数的性质，利用有理Haar函数向量的乘积的运算矩阵将Fredholm积分方程组的计算简化为某些代数方程。最后给出数值结果，为理论分析提供了依据。

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来源
《International journal of computer mathematics》 |2003年第11期|p.1397-1405|共9页
作者
K. MALEKNEJAD; F. MIRZAEE;
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作者单位

School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran;

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原文格式 PDF
正文语种 eng
中图分类运筹学;
关键词
linear fredholm integral equations system; operational matrix; product operation; rationalized haar functions;

机译：线性Fredholm积分方程组运算矩阵乘积运算有理Haar函数;

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专利

1. Solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via a collocation method and rationalized Haar functions [J] . Ordokhani Y, Razzaghi M Applied mathematics letters . 2008,第1期

机译：通过搭配法和合理化的Haar函数求解非线性Volterra-Fredholm-Hammerstein积分方程
2. Solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via rationalized Haar functions [J] . Ordokhani Y Applied mathematics and computation . 2006,第2期

机译：通过有理Haar函数求解非线性Volterra-Fredholm-Hammerstein积分方程
3. Numerical computational solution of the linear Volterra integral equations system via rationalized Haar functions [J] . Farshid Mirzaee Journal of King Saud University . 2010,第4期

机译：线性Volterra积分方程组的有理Haar函数数值解。
4. An Application of Rationalized Haar Functions to Solution of Nonlinear Fredholm-Hammerstein Integro-differential Equations [C] . K. Maleknejad, F. Mirzaee International Symposium on Computing and Its Applications in Information Science(ISCIAIS 2005); 20050815-19; Hefei(CN) . 2005

机译：有理Haar函数在非线性Fredholm-Hammerstein积分微分方程解中的应用
5. THE NUMERICAL SOLUTION OF LINEAR FIRST KIND FREDHOLM INTEGRAL EQUATIONS USING AN ITERATIVE METHOD [D] . SCHMIDT, ROBERT CRAIG 1987

机译：线性一类Fredholm积分方程的迭代法数值解
6. Efficient numerical technique for solution of delay Volterra-Fredholm integral equations using Haar wavelet [O] . Rohul Amin, Kamal Shah, Muhammad Asif, 2020

机译：哈尔小波延迟Volterra-Fredholm整体方程的高效数值技术
7. Solution of nonlinear Volterra–Fredholm–Hammerstein integral equations via a collocation method and rationalized Haar functions [O] . Ordokhani Y., Razzaghi M. 2008

机译：通过搭配法和合理化的Haar函数解非线性Volterra-Fredholm-Hammerstein积分方程

NUMERICAL SOLUTION OF LINEAR FREDHOLM INTEGRAL EQUATIONS SYSTEM BY RATIONALIZED HAAR FUNCTIONS METHOD

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