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ЖУРНАЛЫ // Журнал вычислительной математики и математической физики // Архив

Ж. вычисл. матем. и матем. физ., 2025, том 65, номер 4, страницы 698–710 (Mi zvmmf11963)

Статьи, опубликованные в английской версии журнала

Finite difference method for advanced Volterra integro-differential equation with delay

H. Acara, I. Amiralib, M. E. Durmazc, G. M. Amiraliyevd

a Department of Computer Engineering, Faculty of Engineering and Natural Sciences, Istanbul Kent University, 34433, Istanbul, Türkiye
b Department of Mathematics, Faculty of Arts and Sciences, Düzce University, 81620, Düzce, Türkiye
c Digital Transformation Office, Kırklareli University, 39100, Kırklareli, Türkiye
d Paşa Neighborhood, Şişli District, 34377, Istanbul, Türkiye

Аннотация: The aim of this paper is to introduce a numerical method for advanced Volterra delay integro-differential equation with initial condition. A finite difference scheme on a uniform mesh using the trapezoidal formula is developed to numerically solve this problem. Additionally, demonstrated that this approach yields second-order convergence in the discrete maximum norm. The proposed method is validated through the presentation of numerical results.

Ключевые слова: advanced Volterra integro-differential equation with delay, finite difference scheme, uniform convergence, error estimate.

Поступила в редакцию: 24.02.2024
Исправленный вариант: 19.12.2024
Принята в печать: 04.02.2025

Язык публикации: английский


 Англоязычная версия: Computational Mathematics and Mathematical Physics, 2025, 65:4, 698–710


© МИАН, 2025