Multistage Integral Mean Value Method for the Fredholm Integral Equations of the Second Kind

被引：0
|
作者：
Molabahrami, Ahmad [1 ]
Niasadegh, Sakineh [2 ]
机构：
[1] Ilam Univ, Dept Math, POB 69315516, Ilam, Iran
[2] Islamic Azad Univ, Hamedan Branch, POB 65138-734, Hamadan, Hamadan, Iran
来源：
THAI JOURNAL OF MATHEMATICS | 2020年 / 18卷 / 02期
关键词：
second kind Fredholm integral equations; integral mean value method; modified multistage integral mean value method; degenerate kernel method; non-degenerate kernels; approximate degenerate kernel; NUMERICAL-SOLUTION; DEGENERATE; SYSTEM;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a modified multistage integral mean value method, for handling the Fredholm integral equations of the second kind, to improve the accuracy of the solutions, is applied. The application of the proposed algorithm is based on the applying the multistage schema to the modified integral mean value method. Also, the equivalency of integral mean value method and degenerate kernel method (DKM) is established. The efficiency of the approach will be shown by applying the procedure on some prototype examples. The MATHEMATICA programs based on the procedures in this paper are designed.
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页码：751 / 763
页数：13
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