Bernstein approximation technique for numerical solution of Volterra integral equations of the third kind

被引：10

作者：

Usta, Fuat ^{[1
]}

机构：

[1] Duzce Univ, Fac Sci & Literature, Dept Math, Duzce, Turkey

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2021年 / 40卷 / 05期

关键词：

Bernstein approximation; Volterra integral equations of the third kind; Convergence order; COLLOCATION METHODS; OPERATORS;

D O I：

10.1007/s40314-021-01555-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a numerical scheme based upon the Bernstein approximation method for computational solution of a new class of Volterra integral equations of the third kind (3rdVIEs). Construction of the technique and its practicality for proposed equations have been introduced. Furthermore we have examined the numerability and convergence analysis of the proposed scheme. Finally, we demonstrate a series of numerical examples demonstrating the effectiveness of this new technique for solving 3rdVIEs.

引用

页数：11

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