A Combination of Bernstein and Improved Block-Pulse Functions for Solving a System of Linear Fredholm Integral Equations

被引：0

作者：

He, Ji-Huan ^{[1
,2
,3
]}

Taha, Mahmoud H. ^{[4
]}

Ramadan, Mohamed A. ^{[5
]}

Moatimid, Galal M. ^{[4
]}

机构：

[1] Xian Univ Architecture & Technol, Sch Sci, Xian 710055, Peoples R China

[2] Henan Polytechn Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

[3] Soochow Univ, Coll Text & Clothing Engn, Natl Engn Lab Modern Silk, 199 Ren Ai Rd, Suzhou 215006, Peoples R China

[4] Ain Shams Univ, Dept Math, Fac Educ, Cairo 11566, Egypt

[5] Menoufia Univ, Dept Math & Comp Sci, Fac Sci, Menoufia 12946, Egypt

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2022年 / 2022卷

关键词：

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The present paper illustrates a new numerical technique to solve a system of linear Fredholm integral equations of the second kind. The current work introduces a coupling between hybrid Bernstein functions and improved block-pulse functions (HBI). The current method transforms the linear second kind Fredholm integral equations system into an algebraic system that can be solved by using classical methods. Some numerical examples are introduced to validate the new approach. The results showed that the method is promising, powerful, ultimately accurate, and highly efficient.

引用

页数：12

共 50 条

[1] A Combination of Bernstein and Improved Block-Pulse Functions for Solving a System of Linear Fredholm Integral Equations
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[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
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