A NUMERICAL SOLUTION OF VOLTERRA INTEGRAL-ALGEBRAIC EQUATIONS USING BERNSTEIN POLYNOMIALS

被引：0

作者：

Enteghami-Orimi, Elham ^{[1
]}

Babakhani, Azizollah ^{[2
]}

Hosainzadeh, Hassan ^{[1
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Babolsar 4741695447, Iran

[2] Babol Noshirvani Univ Technol, Dept Math, Babol 4714871167, Iran

来源：

MISKOLC MATHEMATICAL NOTES | 2021年 / 22卷 / 02期

关键词：

Bernstein polynomials; integral algebraic equations; Gauss-Legendre collocation method; approximate solutions; convergence analysis; COLLOCATION METHODS; MEMORY KERNELS; IDENTIFICATION; SYSTEM;

D O I：

10.18514/MMN.2021.2978

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The principal aim of this paper is to serve the numerical solution for a linear integral-algebraic equation (IAE) by using Bernstein polynomials. Employing of Bernstein polynomials, the system of integral equations is approximated by the Gaussian quadrature formula with respect to the Legendre weight function. The proposed method reduces the system of integral equations to a system of algebraic equations that can be easily solved by any usual numerical method. Moreover, the convergence analysis of this algorithm will be shown by preparing some theorems. Several examples are included to illustrate the efficiency and accuracy of the proposed technique and also the results are compared with the different methods.

引用

页码：639 / 654

页数：16

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