Stability inequalities and numerical solution for neutral Volterra delay integro-differential equation

Ilhame Amirali; Hülya Acar

doi:10.1016/j.cam.2023.115343

Stability inequalities and numerical solution for neutral Volterra delay integro-differential equation

Ilhame Amirali^*, Hülya Acar

^*Corresponding author for this work

Duzce University

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

The aim of the present paper is to introduce a new numerical method for solving Volterra integro-differential equation involving delay and neutral types. Using the numerical quadrature formula we form a finite difference scheme on a uniform mesh. The presented numerical method obtains a second-order convergence in discrete maximum norm. Furthermore, we illustrate the efficacy of the proposed method by constructing examples.

Original language	English
Article number	115343
Journal	Journal of Computational and Applied Mathematics
Volume	436
DOIs	https://doi.org/10.1016/j.cam.2023.115343
Publication status	Published - 15 Jan 2024
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2023 Elsevier B.V.

Keywords

Error estimate
Finite difference scheme
Uniform convergence
Volterra delay integro-differential equation

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10.1016/j.cam.2023.115343

Cite this

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abstract = "The aim of the present paper is to introduce a new numerical method for solving Volterra integro-differential equation involving delay and neutral types. Using the numerical quadrature formula we form a finite difference scheme on a uniform mesh. The presented numerical method obtains a second-order convergence in discrete maximum norm. Furthermore, we illustrate the efficacy of the proposed method by constructing examples.",

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AU - Acar, Hülya

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AB - The aim of the present paper is to introduce a new numerical method for solving Volterra integro-differential equation involving delay and neutral types. Using the numerical quadrature formula we form a finite difference scheme on a uniform mesh. The presented numerical method obtains a second-order convergence in discrete maximum norm. Furthermore, we illustrate the efficacy of the proposed method by constructing examples.

KW - Error estimate

KW - Finite difference scheme

KW - Uniform convergence

KW - Volterra delay integro-differential equation

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Stability inequalities and numerical solution for neutral Volterra delay integro-differential equation

Abstract

Bibliographical note

Keywords

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