Approximate Solution of Volterra-Stieltjes Linear Integral Equations of the Second Kind with the Generalized Trapezoid Rule-Reference-Cited by-同舟云学术

Approximate Solution of Volterra-Stieltjes Linear Integral Equations of the Second Kind with the Generalized Trapezoid Rule

Published:2016 Issue: Volume:2016 Page:1-6
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Asanov Avyt¹,Hazar Elman²³^ORCID,Eroz Mustafa²^ORCID,Matanova Kalyskan¹,Abdyldaeva Elmira¹

Affiliation:

1. Department of Mathematics, Kyrgyz-Turkish Manas University, Bishkek, Kyrgyzstan

2. Department of Mathematics, Sakarya University, Sakarya, Turkey

3. Department of Applied Mathematics and Informatics, Kyrgyz-Turkish Manas University, Bishkek, Kyrgyzstan

Abstract

The numerical solution of linear Volterra-Stieltjes integral equations of the second kind by using the generalized trapezoid rule is established and investigated. Also, the conditions on estimation of the error are determined and proved. A selected example is solved employing the proposed method.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2016/1798050.pdf

Reference16 articles.

1. Volterra-stieltjes integral operators

2. On a class of Urysohn–Stieltjes quadratic integral equations and their applications

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Approximate Solution of the System of Linear Volterra–Stieltjes Integral Equations of the Second Kind;Journal of Mathematical Sciences;2022-04

2. Approximate Solution of the System of Linear Volterra-Stieltjes Integral Equations of the Second Kind;Ukrainian Mathematical Bulletin;2022-01-28

3. The Choice of the Regularization Parameter for Solving Linear Volterra-Stieltjes Integral Equations of the Third Kind;Scientific and Technical Revolution: Yesterday, Today and Tomorrow;2020

4. Fractional differential equations and Volterra–Stieltjes integral equations of the second kind;Computational and Applied Mathematics;2019-10-03