Three Methods to Solve Two Classes of Integral Equations of the Second Kind

被引：0

作者：

Chebbah, Hassna ^{[1
]}

Mennouni, Abdelaziz ^{[2
]}

Zennir, Khaled ^{[3
,4
]}

机构：

[1] Univ Batna 2, LTM, Dept Math, Mostafa Ben Boulaid, Algeria

[2] Univ Batna 2, Dept Math, Mostefa Ben Boulaid, Algeria

[3] Qassim Univ, Coll Sci & Arts, Dept Math, Buraydah, Qassim, Saudi Arabia

[4] Univ 20 Aout 1955, Dept math, Lab LAMAHIS, Skikda 21000, Algeria

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2022年 / 40卷

关键词：

Nystrom method; Kantorovich method; Integral equations; Orthogonal finite rank projections; SUPERCONVERGENCE;

D O I：

10.5269/bspm.46315

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Three methods to solve two classes of integral equations of the second kind are introduced in this paper. Firstly, two Kantorovich methods are proposed and examined to numerically solving an integral equation appearing from mathematical modeling in biology. We use a sequence of orthogonal finite rank projections. The first method is based on general grid projections. The second one is established by using the shifted Legendre polynomials. We present a new convergence analysis results and we prove the associated theorems. Secondly, a new Nystrom method is introduced for solving Fredholm integral equation of the second kind.

引用

页数：8

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