Numerical solution of linear Fredholm integral equations via two-dimensional modification of hat functions

Mirzaee Farshid; Hadadiyan Elham

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Numerical solution of linear Fredholm integral equations via two-dimensional modification of hat functions

机译：帽函数的二维修正的线性Fredholm积分方程的数值解

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摘要

In this work we approximate the solution of the linear Fredholm integral equations, by means of a new two-dimensional modification of hat functions (2D-MHFs) and a new operational matrix of integration. By this idea, the basic equations will be changed into the associated systems of algebraic equations. Also, an error analysis is provided under several mild conditions. The method is computationally attractive and some numerical examples are provided to illustrate its high accuracy. (C) 2014 Elsevier Inc. All rights reserved.

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《Applied mathematics and computation》 |2015年第null期|共12页
作者
Mirzaee Farshid; Hadadiyan Elham;
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正文语种 eng
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关键词
Modification of hat functions; Fredholm integral equation; Operational matrix; Error analysis;

机译：Hat函数的修改;Fredholm积分方程;操作矩阵;误差分析;

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专利

1. Numerical solution of linear Fredholm integral equations via two-dimensional modification of hat functions [J] . Mirzaee Farshid, Hadadiyan Elham Applied mathematics and computation . 2015,第Null期

机译：帽函数的二维修正的线性Fredholm积分方程的数值解
2. Numerical solution of the linear two-dimensional Fredholm integral equations of the second kind via two-dimensional triangular orthogonal functions [J] . Farshid Mirzaee, Sima Piroozfar Journal of King Saud University . 2010,第4期

机译：第二类线性二维弗雷德霍尔姆积分方程的二维三角正交函数数值解
3. Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations in two-dimensional spaces based on Block Pulse functions [J] . Xie Jiaquan, Huang Qingxue, Zhao Fuqiang Journal of Computational and Applied Mathematics . 2017,第期

机译：基于块脉冲函数的二维空间中非线性Volterra-Fredholm-Hammerstein整体方程的数值解
4. Numerical solution of two-dimensional Fredholm integral equations via modification of barycentric rational interpolation [C] . Yubin Pan, Jin Huang International Conference on Automation, Mechanical Control and Computational Engineering . 2017

机译：二维弗雷霍姆积分方程的数值解，改变重心层压插值
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. A NEW APPROACH TO THE NUMERICAL SOLUTION OF A CLASS OF LINEAR AND NONLINEAR INTEGRAL EQUATIONS OF FREDHOLM TYPE [O] . Richard Bellman 1965

机译：一类Fredholm型线性和非线性积分方程数值解的新方法。
7. Numerical Solution of System of Fredholm-Hammerstein Integral Equations using Modification of Hat Functions [O] . Elnaz Babaei, Elham Hashemizadeh 2020

机译：帽函数修改的Fredholm-Hammerstein整体方程式的数值解

Numerical solution of linear Fredholm integral equations via two-dimensional modification of hat functions

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