Work

A capable numerical scheme for solving nonlinear Volterra delay integral equations of the third kind

Year: 2024

Type: article

Abstract: In this paper, a class of nonlinear Volterra delay integral equations of the third kind (VDIEs) is approximated by an efficient manner. At first, by using some conditions the existence and uniqueness of the solution is discussed based on the nonlinear cordial Volterra integral operators. Moreover, its convergence analysis is shown by using interpolation properties through some theorems and lemmas. Also, some examples are given and the results are compared with their exact solutions to demonstrate the reliability and capability of this algorithm.

Source: Results in Applied Mathematics

DOI: 10.1016/j.rinam.2024.100512

Authors: Rohollah Ghaedi Ghalini, Esmail Hesameddini, Hojatollah Laeli Dastjerdi

Institutions: Shiraz University of Technology, Farhangian University

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,490

OpenAlex ID: W4404255626

FWCI:

Cites: 25

Cited by:

Related to: 10