On accurate solution of the Fredholm integral equations of the second kind

被引：18

作者：

Amiri, Sadegh ^{[1
]}

Hajipour, Mojtaba ^{[2
]}

Baleanu, Dumitru ^{[3
,4
,5
]}

机构：

[1] Shahid Sattari Aeronaut Univ Sci & Technol, Dept Basic Sci, POB 13846-63113, Tehran, Iran

[2] Sahand Univ Technol, Dept Math, POB 51335-1996, Tabriz, Iran

[3] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey

[4] Inst Space Sci, MG 23, R-76900 Magurele, Romania

[5] Hohai Univ, Inst Soft Matter Mech, Dept Engn Mech, Nanjing 210098, Jiangsu, Peoples R China

来源：

APPLIED NUMERICAL MATHEMATICS | 2020年 / 150卷 / 150期

关键词：

Fredholm integral equations; Trigonometric basis functions; Accurate method; STOCHASTIC OPERATIONAL MATRIX; NUMERICAL-SOLUTION; COMPUTATIONAL METHOD; HAAR WAVELET; SPREAD;

D O I：

10.1016/j.apnum.2019.10.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an accurate numerical method based on the cosine-trigonometric basis functions is developed to solve the Fredholm integral equations of the second kind. By using the proposed method, the presented equation is converted into a system of algebraic equations. The convergence analysis of the proposed method is also investigated. To demonstrate the efficiency of the proposed method, the numerical simulations of various types of one- and two-dimensional examples are prepared. Comparative results show that this method is accurate than the other existing methods in the literature. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：478 / 490

页数：13

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