Chebyshev collocation treatment of Volterra-Fredholm integral equation with error analysis

被引：36
作者：
Youssri, Y. H. [1 ]
Hafez, R. M. [2 ,3 ]
机构：
[1] Cairo Univ, Fac Sci, Dept Math, Giza 12613, Egypt
[2] Univ Tabuk, Alwagjh Univ Coll, Dept Math, Tabuk, Saudi Arabia
[3] Modern Acad, Inst Informat Technol, Dept Basic Sci, Cairo, Egypt
来源：
ARABIAN JOURNAL OF MATHEMATICS | 2020年 / 9卷 / 02期
关键词：
65R20; 65M70; 42C10; NUMERICAL-SOLUTION; SOLVING FREDHOLM;
D O I：
10.1007/s40065-019-0243-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This work reports a collocation algorithm for the numerical solution of a Volterra-Fredholm integral equation (V-FIE), using shifted Chebyshev collocation (SCC) method. Some properties of the shifted Chebyshev polynomials are presented. These properties together with the shifted Gauss-Chebyshev nodes were then used to reduce the Volterra-Fredholm integral equation to the solution of a matrix equation. Nextly, the error analysis of the proposed method is presented. We compared the results of this algorithm with others and showed the accuracy and potential applicability of the given method.
引用
收藏
页码：471 / 480
页数：10
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