Solving nonlinear integro-differential equations using numerical method

The aim of this paper is to establish conditions for the existence and uniqueness of the solution of a nonlinear integro-differential equation. Moreover, it is to propose a quadrature method in order to find an approximate solution and establish the convergence of the method. We conclude by providing the algorithm and some numerical simulation to confirm our theoretical results © This work is licensed under a Creative Commons Attribution 4.0 International License

Авторы
Ramdani N.E.1 , Pinelas S. 2
Издательство
TUBITAK
Номер выпуска
Special Issue
Язык
Английский
Страницы
675-687
Статус
Опубликовано
Том
46
Год
2022
Организации
  • 1 Department of Civil Engineering, Faculty of Technology, University Saad Dahlab, Blida, Algeria
  • 2 Peoples’ Friendship University of Russia (RUDN University), Moscow, Russian Federation
Ключевые слова
Backward difference; Existence and uniqueness; Gauss–kronrod; Nonlinear integro-differential equation; Quadrature method
Дата создания
06.07.2022
Дата изменения
06.07.2022
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/84258/
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